{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NBEATS EXAMPLE\n",
    "\n",
    "https://subhayo.wordpress.com/2019/05/15/time-series-analysis-of-monthly-milk-production/\n",
    "\n",
    "It's a toy example to show how to do time series forecasting using N-Beats."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import warnings\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import torch\n",
    "from torch import optim\n",
    "from torch.nn import functional as F\n",
    "\n",
    "from nbeats_pytorch.model import NBeatsNet\n",
    "from trainer_pytorch import save\n",
    "\n",
    "warnings.filterwarnings(action='ignore', message='Setting attributes')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plot utils.\n",
    "def plot_scatter(*args, **kwargs):\n",
    "    plt.plot(*args, **kwargs)\n",
    "    plt.scatter(*args, **kwargs)\n",
    "\n",
    "\n",
    "# simple batcher.\n",
    "def data_generator(x, y, size):\n",
    "    assert len(x) == len(y)\n",
    "    batches = []\n",
    "    for ii in range(0, len(x), size):\n",
    "        batches.append((x[ii:ii + size], y[ii:ii + size]))\n",
    "    for batch in batches:\n",
    "        yield batch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            milk_production_pounds\n",
      "month                             \n",
      "1962-01-01                     589\n",
      "1962-02-01                     561\n",
      "1962-03-01                     640\n",
      "1962-04-01                     656\n",
      "1962-05-01                     727\n",
      "| N-Beats\n",
      "| --  Stack Generic (#0) (share_weights_in_stack=False)\n",
      "     | -- GenericBlock(units=128, thetas_dim=4, backcast_length=15, forecast_length=5, share_thetas=False) at @5119982224\n",
      "     | -- GenericBlock(units=128, thetas_dim=4, backcast_length=15, forecast_length=5, share_thetas=False) at @5120081744\n",
      "     | -- GenericBlock(units=128, thetas_dim=4, backcast_length=15, forecast_length=5, share_thetas=False) at @5120405840\n",
      "| --  Stack Generic (#1) (share_weights_in_stack=False)\n",
      "     | -- GenericBlock(units=128, thetas_dim=8, backcast_length=15, forecast_length=5, share_thetas=False) at @5120407120\n",
      "     | -- GenericBlock(units=128, thetas_dim=8, backcast_length=15, forecast_length=5, share_thetas=False) at @5120407056\n",
      "     | -- GenericBlock(units=128, thetas_dim=8, backcast_length=15, forecast_length=5, share_thetas=False) at @5120409040\n"
     ]
    },
    {
     "data": {
      "image/png": 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znzbNPQARgoqN1fyNcPDuu65v2ev833gj/VN3hhEl4nE31nXaNBfO/PCHzfkbxgDe2hG4jrH+fveKJcOIMnv3Djp+cBWbEIR9zPkb4WCo8w9RbNQw8iLZl5Vk3jw3bcB77wWnCXP+RljwjogA1+FbURF481hE2kXkJRF5UUQ2JtJqReQZEXk9sa5JpIuI3CMi20Rks4iclTl3Y0yQzvkDvPJKMHoSFMT5WwEx8mZozb+iwsVGw1Hzv0hVz1TV5Ni8pcCzqjoX9w7rpYn0S4C5iaURuLfkSo3wkXx+JUlIWrWFrPlbATFGTzwOZWWpM8eFJDaahkXAQ4nth4DPedKTkw7/HpgqIjMD0GeEib17U2v+c+a4CbECbtUWM+xjBcTInnjcTTea7BQD1zzu6ID9+4PTBQo8LSKbRKQxkVanqsnJrd8C6hLbswDvHLC7EmnGWOXwYejsTHX+ZWVw2mmBO/9CjfNPFhAF1qhqC7kXkJSZ4hMFrRGgrq6O9evXp/3gnp4e32NBETZNYdMDwzXNe+UVJlZXs9GTNk2VM4BNP/kJ+08/veQaE3xcVXeLyAzgGRFJGX6kqpqw+6yJqm2HTQ+ET9NQPZXvvsvHgNf27eNNT/qHp0+nZuNGng9Su9+kP7kswKzEegbw/4ALgH1DzulKrH+FK1DJ9GeBszPlH6XJr1TDpylselTTaPrYx1T/4i9S07ZtcxNiPfBA0fWQxcRuwDLgH4CtwMxE2kxga2J7DXCl5/yB8/yWKNl22PSohk/TMD0vvuhs+N/+LTV9+XKX3tlZVD2Z7LogYR9V3Z1Yx4FfAOcCbyfDOYl18jVNu4HZnstPSqQZY5mhIyIATj7Zvd4poLi/iFSLyOTkNnAxsAVYCyxOnLYYeDyxvRb4SmJQw0eBbh1s/RpjkeQotqG2nRzxE2DoJ2/nbwXEKAhDO8XAxUZPPz3ITt864Hci8v+AF4D/T1WfBO4E/lJEXgc+ldgHeALYDmwD7geuLb1kI1QMHcWWJAQjfgoR868DfiEiyfweUdUnRWQD8DMRWQJ0AF9MnP8EcCmugPQC1xRAgxFlDh1yL172DodLMn8+PPNM6TUBqrod+NM06e8Cn0yTrsB1JZBmRAU/5z97tnsxeIA1/7ydvxUQI2/8msbgmscPPeRGTPi9QNgwwko8DuPGwdSpqekirlUb5bCPYeSNX+0IBpvHIZgIyzByZu9e16J1kZFUAn6OxZy/ETzm/I1jlXQDGZLMm+f+HJIt3xJjzt8InkzO/6ST4Ljjwvqkr2FkZujUDl4CHvFjzt8InkzOX8QVEqv5G1EkU80/4BE/5vyN4InH3duNJk9Of3zePHjpJfeyF8OIEumGMCeZOdN1BFvN3xizZOoUA1dDevfdwRaCYUSBgwfdvFR+zj/gVq05fyN4MjWNwTp9jWgy9B0V6UiO+AmgVWvO3wiekZx/smPMOn2NKJGpLyvJvHnQ1QVvvVUaTR7M+RvBM5Lzr6tz70A1529EiUwPLyYJcMSPOX8jWFRHdv4irnlsYR8jSmRT8w9wxI85fyNYenrg/fczFxBwNaSAYqOGMSqSzj9TzH/GDPcSI6v5G2OObGpH4GpI770Hu232byMi7N0LEybApEmZzwtoxI85fyNYshkRAYE/EGMYOZMMZ/oNYU6SDGmWuFVrzt8Ilmxr/q+84taXXOJegN3WVlRZhpE3maZ28HLggGvVlpWV1LbN+RvBko3zb2uDb35zcL+jAxob7Q/ACDcjDWQAZ8OPPjq4X0LbNudvBEs2nWJNTdDbm5rW2+vSDSOsZJraIUlTk3uZkZcS2bY5fyNY4nE3p8/Eif7n7NiRW7phBE02Q5ghUNsOzPmLyEIR2Soi20RkaVA6jIDJpoDU16dPP+44OHy48JrywOzaAAaHMI8U8/ez7epq92rTIhKI8xeRcmA1cAlwOnCliJwehBYjYLJx/s3NUFWVmlZe7grHOefAHXe4jrISd5gNxezaGCDbgQzpbHvcONcJfPrp8Hd/B7FYUWw7qJr/ucA2Vd2uqn3AY8CigLQYQZJNXLShAVpaXCEQceuHHoJf/hLa2118tKPDNbWD7Qw2uzYc2UztAOlt+8c/hhdegIoKuOceFwIqgm3n/QL3UTIL2OnZ3wWcF5AWI0jicTj33JHPa2hwy1AmTx7ePE52mKU7v7iYXRuObGv+4G/b6cb9F9C2g3L+IyIijUAjQF1dHevXr097Xk9Pj++xoAibprDpgYSm//xPPhGPs+PgQf44Wn033gjAtJdfZt5DD/H2ggVsvfxydyxk3zlJVG07bHogfJqSemb+9rd8CHh+2zYO7d8/usy+8Q0Apm7bxpn33Uf7pz5F+8KF7lghvrOqlnwBzgee8uzfDNzsd/6CBQvUj3Xr1vkeC4qwaQqbHtWEpnfeUQXVVatGn1Es5vIYusRiOWUDbNQS27VGzLbDpkc1fJoG9DQ3Ozvs7R19ZgWw7Ux2HVTMfwMwV0ROFpFK4ApgbUBajKDIpWnsR7oOMxG49dbR5zl6zK4Nx969Iw9hHol0tl1WBt/7Xn7aklkVJJccUdUjwPXAU8AfgJ+pqs3XO9YohPMf2mE2Y4arH+3aVRiNOWB2bQyQzSi2kRhq27W10N8PlZUFkRjYOH9VfUJVT1XVU1S1OSgdRoAUwvmDKyTt7a5gvP02fOELrnb0xht5S8wVs2sDyH5en5Hw2nY8DmedBX//9+7dwHliT/gawVEo5z+UVatc7ejaa23+fyMYClHzH0p5Odx7L+zZA8uW5Z2dOX8jOJJjoadNK2y+J57o4qVPPw0//Wlh8zaMbMjm+ZXRcO65bqz/3XfD5s15ZWXO3wiOeNw5/nFFGHH89a/D2We7oaD79hU+f8Pwo7/fOf9ChH3ScccdUFPjWrb9/aPOxpy/ERzFaBonKS+HNWtcIfz2t4vzGYaRjn374MiR4tl2bS0sXw7/9V/w8MOjzsacvxEcxXT+4DrHvvENuO8+mDkz8Ll/jDFCsfqyvCxeDKeeCkuWuJFAo7Brc/5GcBTb+YN7PyrAW2+FYe4fYyyQ7bw++fDoo27On2TYZxR2bc7fCI5SOP/vfW/4iB97EYxRTLJ5QVG+NDW5KaO95GjX5vyNQJAjR6Crq/jO314EY5SaUoR9CmDX5vyNQKhIzsRZzNoR+L8swy/dMPIl6fynTy/eZxTArs35G4FQ0dXlNopd8083P0pVlUs3jGKwd68bkVNRUbzPKIBdm/M3AqEyOfa+2M4/3csyWlqCmOvfGCsUamqHTBTArkM7n79xbFOymj/4vyzDMIpBKQYyQN52bTV/IxBKVvM3jFJTKuefJ+b8jUCo2LfPTeswdWrQUgyjsBRzaocCYs7fCITK5DBPkaClGEbBkKNH4d13reZvGH5UdHdHooAYRi6M6+52DxVGwLbN+RuBUNnVFYmmsWHkQmXy+RVz/oaRnop9+yJRQAwjFwZGsUWgYpOX8xeRZSKyW0ReTCyXeo7dLCLbRGSriHzak74wkbZNRJbm8/lGdKksxdQOeWC2bYyGKI1iK8Q4/5WqusKbICKnA1cA84ATgV+LyKmJw6uBvwR2ARtEZK2qvlIAHUZUOHCA8vffj0IBMds2cqKkz6/kSbEe8loEPKaqh4A/isg24NzEsW2quh1ARB5LnGsFZCxRiilvi4fZtuFLRXe3e29EbW3QUkakEDH/60Vks4g8KCI1ibRZwE7PObsSaX7pxliiFLMeFgazbSMnKru63IRuZeHvTh2x5i8ivwZOSHOoCbgXuB3QxPou4KuFECYijUAjQF1dHevXr097Xk9Pj++xoAibprDpmfb885wBbNq5k/0B6rrpppvo7OxM7s4TkS2JbbPtNIRND4RP04ffeYee6mo2hkiTL6pakAWYA2xJbN8M3Ow59hRwfmJ5ypOecp7fsmDBAvVj3bp1vseCImyawqZHH3xQFVS3bw9ayQDARjXbzkjY9KiGT9O+efNU/+IvgpYxQCa7zne0z0zP7l8DyZrTWuAKERkvIicDc4EXgA3AXBE5WUQqcR1na/PRYESQCIR9zLaN0VDR3R2JYZ6Qf4fvchE5E9c0bgf+BkBVXxaRn+E6u44A16nqUQARuR5XWyoHHlTVl/PUYESNeJyjEyZQXl0dtJJMmG0bORP2Icxe8nL+qnpVhmPNwLA3C6jqE8AT+XyuEXHicfqmTmVi0DoyYLZt5MyhQ4w7cCAyzj/8XdLGsUc8zmGbzdM41ojYEGZz/kbpicfpq6kZ+TzDiBJJ5x+RmL85f6P0WM3fOBaJwEAGL+b8jdLS2gpvvsnh99+HOXOgrS1oRYaRP21tg69U/OIXI2HX9g5fo3S0tUFjIwB9kyZBR8fAvr1j14gsSbvu7XX7b74ZCbu2mr9ROpqa4OBBAA5PmuTSentdumFElaamAcffX17u0iJg1+b8jdKxY8fA5nv19WnTDSNyeOx3+2c+kzY9jJjzN0qHx+Ef9I6I8P4RGEbU8NjvrgsuSJseRsz5G6WjuRmqqlLTqqpcumFElYjatTl/o3Q0NEBLC8Ribj8Wc/sh7hQzjBGJqF2Lm/gt3IjIXqDD5/B04J0SysmGsGkKmx4In6aYqpb86ZyI2XbY9ED4NIVNj69dR8L5Z0JENqrq2UHr8BI2TWHTA+HUFDbCdo/CpgfCpylsejJhYR/DMIwxiDl/wzCMMcix4PxbghaQhrBpCpseCKemsBG2exQ2PRA+TWHT40vkY/6GYRhG7hwLNX/DMAwjR8z5G4ZhjEEi7fxFZKGIbBWRbSKyNAR62kXkJRF5UUQ2BqThQRGJi8gWT1qtiDwjIq8n1iV7k4qPnmUisjtxn14UkUtLpScKhM2uwWw7Bz2Rse3IOn8RKQdWA5cApwNXisjpwaoC4CJVPTPAsb4/BhYOSVsKPKuqc4FnE/tB6gFYmbhPZybefWsQarsGs+1s9EBEbDuyzh84F9imqttVtQ94DFgUsKbAUdXngM4hyYuAhxLbDwGfC1iP4Y/ZtQ9m24Ulys5/FrDTs78rkRYkCjwtIptEpDFgLV7qVHVPYvstoC5IMQmuF5HNiaazvdB3kDDaNZht50IkbDvKzj+MfFxVz8I12a8TkQtGuqDUqBvbG/T43nuBU4AzgT3AXYGqMbLBbDs7ImPbUXb+u4HZnv2TEmmBoaq7E+s48AtcEz4MvC0iMwES63iQYlT1bVU9qqr9wP2E5z6FgdDZNZhtZ0uUbDvKzn8DMFdEThaRSuAKYG1QYkSkWkQmJ7eBi4Etma8qGWuBxYntxcDjAWpJFtIkf0147lMYCJVdg9l2LkTJtiP7AndVPSIi1wNPAeXAg6r6coCS6oBfiAi4+/qIqj5ZahEi8ihwITBdRHYB3wXuBH4mIktw0wd/MWA9F4rImbgmejvwN6XSE3ZCaNdgtp2LnsjYtk3vYBiGMQaJctjHMAzDGCXm/A3DMMYgWTv/XB6tFsc9icfTN4vIWZ5rFifOf11EFqf7LMMoJWbbxlgk65h/YlxvD/Cwqs5PpC0HOlX1zsQcJDWq+q3EfBY3AJcC5wF3q+p5IlILbATOxnWIbAIWqGpXps+ePn26zpkzJ+2xAwcOUF1dndV3KBVh0xQ2PRAuTfv37+e1117bB+w22/YnbHogfJrCpmfTpk3v+L6bWlWzXoA5wBbP/lZgZmJ7JrA1sb0GuHLoecCVwBpPesp5fsuCBQvUj3Xr1vkeC4qwaQqbHtX0mlo3t2psZUxlmWhsZUxbN7eWTA+wOQq23dqqGoupirh1a+luUWTsKEjCpgfYqD62l2/M3+/Rar9H1MP66HpWtLXBnDlQVubWbW1BKzp2aHupjcZ/b6SjuwNF6ejuoPHfG2l7KbCbHDrbbmuDxkbo6ABVt25sNDssJGOpjBdsnL+qqogUbNxoYv6QRoC6ujrWr1+f9ryenh7fY4WksxPicbjhhsG0eBx+/nOorQ1GU7aETQ8M19QZ7+S2k2/jrUNv0ad91FXWMb5sPJ1/6GT9u+vpPNjJ7v276TvaR2V5JbMmz6J2Yq3/BxSQsNh2ZyfcdhscPDiON9+sZvr0gxx3XB+dnZA8rbMTdu+Gvj6orIRZs4bb52iJgh3lQ7KML1kyjvHjj1JerillPJt7G8Z75ItfkyDdwhgO+8Riqq6+lbrU1w+ek2ySr1ixruRN8kyErSmqOlwTy/BdFrYu1MrbK1PSqpqrChoWIgJhn3T2l1yuvlr1iitUx49PTa+qKpwdRsGO8uGEE9Lf2+nTVe++W3XixJHvbdjuEUUM+/g9Wr0W+EpiZMRHgW51TeingItFpCYxeuLiRFpoSNfs6+lxTex07NgBn/0sNDTAkiWD51mTPD1tL7UxZ9UcNu3ZxJxVc7j1N7dySdslvudXllXy1Lan6Dval5Lee7iX//X0/0JVB/Isu7WMOavmFCpUFJhtJ21w0ya3vu8+aGoC94DtcCZMgCefhMceg0OHUo/19sLNN6fmOxZCGn4MvQetrfAf/wEXXghvvZX+mnfegb/7Ozh4MDW9t9f9LjDcrgMMV2aP37/C0AV4FDdL3WFcPHMJMA33AoXXgV8DtYlzBfdCijeAl4CzPfl8FdiWWK7J5rMLXfP36zRrbXX/5t5/93Hjhqd5l0mTVOfOTU2bPz8+sB2LZf7MUlDK2kim79m6uVWrmquUZeh1D1w3UIuffMdkvfxfL9eGy8fpH6egR0H/OAW9+gsV2rq5NWOroObOGi2/tTyvVsEVV1yhQF8YbNtrg8uW/W7AjkRUzztPdcIE/9pnppbBGWeoVlTk1yoIW61WNbdO8XTlW8StTzpJtaYm/b3zaxEkr/fa9YpHVgy3wQALPxlq/lk7/yCXQjr/dAYwcaLqmjWqM2em/4GrqlS/+93MzT5v+pQp76fsX3NNdk3GYlGqQpvu3nq/Z2xlLK0Dn/2D2aqtrXp4QmXKxYcnVKq2tvpeV/uPtVr1vaq0x2bdNWtQVxajiDIVkmIuQ23bG16sqDgysD1z5uA99vMjfqHJyZNdJSbdsWTYMhv/FAXnn84GKytVv/xl1eOOS38Ppk1TPXQos/363dtYLNWuF69ZPLAdWxnLaNelwJy/B78fMdMi4q7NtuAtX74upeXgl2+yVVBsgu4XSX5PWSYDBeOy1ZcNbMsyyXixt2Y1tHbvzXPo8qf3/qkuenSRjr99/Igtg7A4/2RNFFTPOmvPMBvMRCbn5c136PJnf+Yc5EiVkyg4/3zKt2purYaBe5vBBn97xhQ9KsM/dP/MaSW5P5nsOrLTOwyNi2Ybv/SL3QNMn54+vb7erRsaoL0d+vvduqFh8JzmZqiqcttlibtaVQX/8i+ZtWzdGs5Y7Gg0ZeoXAaifUj+Q9omaTwxs10+pHzwpzcUNZzTQclkLsSkxBCE2JUbLZS00nNGQkqeXqROmctz443h86+McOpoaCO893EvTs00jf6EAqPd8nS996dW06X40NEBLC8Rirn8gFnP7DQ3+11dXw/PPuxEsXrzx7KAopA2C/z3wpvuV8Yz31mODXz/p6yl5//n/7GbmTbDyPLffU+HWVXveHfnLQLH6s4CIzu3jHe8M2XeuvvoqjPMZ3BqLwapVgw48SVWVc+wj4TWOZH4tLfDlLw+mpePDH4arrir92O1MBWs048m3bvW/t8nC1fzJZqoqUm9wVUUVzZ9sHrFkNpzRQPuN7fR/t5/2G9tpOKMhY54/uvRHPHfNc756d3T7/NkEjLcSkSRbGwR/5+WX75o17tx0dHTA5s0jV7RGW3kppA2qwvLl/p8Vi8EddxTp3nps8JSqU1y+FVWsvnQ1dz0Jn9oOO6a6c1eeD5+4Gm65CF579zX3XX0cfNGfffFrEoRpyRQXveqqLVmFUX71KxfzO+64zMPhCtE3k00csqrKDR/z62SaPTv1et9O1FHEajM1Yd98U3XGjPSa/O7vk0+qTpniYssjDTVMxt9XPLIiNf7e2jrqjpFMMX2//oLYytQvQ0jCPslbUYwhw362MlKopKzMrW+77bdpy0umfp5MWoZeN3686le+onrttcM7tv1scN26dXrggOqVV7rjH/1oZjMqVt+rn13f0DBNeyrcIAYF3XI8Ov/rg3Y4c8VMHXfbuBTbrLy9Uq/55TU69ftT09pu/Q/qUz5ztH1ZgTv2bJZMcdGhy5EjiR/D00kzdaq75qyzVDs6it/5nssIhEzf5atfzdzRnG3ByzYumizkmZb9+1PvbU2N+w5/8ieq7e3Z39u08ePm5sEPOuGEgvwwmfoLvITJ+ScJuqP+3nv9KyciqrW1quXl6Y+PNMrtxBP9bcyvYza5bN48mG9T039rZaXL//vfV+3vD9fIutbNrXr1Fyq0u9KJ7ytzo9hW/X6V/vB//1AnfG9CxtFsfstH7vuIVtxWkZddB+rUs10y1fwbG19MMYyZM1UXLhxecygvV33ggVx/ytGRS6H1c8STJqlWV2cuIJMmpT82dASHtwa5Y0fmgrVqlWpdnf/x8eOHF/jyctV//ucC3KOnnx7MtKUltwwzEKXRPl7CMETXWzm55JI3Un73667LbEv/438MbwmOG5fZ8YNz4Nm2RqqrDw3YZRgeqvSbs+rxj7h/1yOCPrLhwYFjmTqL639Qnza9url6WGthNC3aSMb8vfHLU0/tAmDiRDf1wrnnugde3n8/9ZqjR92j8WHDLxZ7332wZ0/6awDee889fJaOHTvgnHPgmmtcrHT37kl0dLi+hUwdh7GYe5jlrruGa5o4EW65BSoq3L30cvQo3H67f75ZE/e8e/vlwr250K+/wBjEL57ttZdPfnKwnyQWgx/9yL8/q7LSTYsw9KGzI0fcNAk1NemvS3ao+pWLe+911yb7KaqqjgDuc4LuoPaj4YwGPlt7PgDlCleO+8jAMb8BC7EpMe741B1p+7PWXLaGo/1H016XS19WJJ1/us7V+++He+6BX/7S/zq/ASVBkmkUweTJ/oUrFvM/Vl0NL74Ihw+7/ZUrzwZcnWnqVNcxlqnjK52m++93f54HDqT/zILc26Tz/+AHYUto33s9phipA9rv+IMP+ud56BD88Ie522BLC/zt38K+fYPX/P3fbxzYDmP5HiAeh1NPddueik2mQRCjGeXml54WvyZBmJZcm8YjjTcvNoVsrmeK62c7rvvyy18Z2M7mmYVMFOrepr1HS5e6uMDVV7uYfwlhjId9MjFSB3SuHcn5PvXuzXfFinUlL9+Z8P3N6uqcXVdUODv3MJqpzAvRlxW4Y89mGc2c56MZgVAoCl1oRzPap1gFpFD3Nu09WrLEBYRXrHAZ792bn9gcMOc/MoV4mr4Q5dCbb9K2S1m+M5H2Hh096jopvvMd1XnzVC+7rCCflW9fVsGmdA4TyXhlU5NrCtbXu+ZkQ0RDvQ0N/tr9jjU3u3HRvb2DabmMac6kBYp0b+NxOP54mD/f7b/8MnziEwXI2AiCYtmKN19wIaFQl+/OTtdJMWOGs+0XXihItg1nNOTVf3VMOn/I7DDHAsUsIEW7t/G4KyDz5rl9c/6Rp1i2ksx3/XrXQR1qkn1ZSef/05+6zrOAX/cYyQ5fIzuSIzgWLBg+HUUoSTr/WbNgyhTr9DWODbzOP1mxeeWV4PQkMOdvhIek8xdxNaQCDvc0jMDYu9etvSHNEFRszPkb4eDAAbfMmOH2581zBUQ1WF2GkS/emv8HPuDevhOCio05fyMcJGtHSec/f77rKHv77eA0GUYhiMdda3baNCgvh9NOs5q/YQww1PknY6MhKCSGkRfxuJsvvrzc7YckpGnO3wgHyabx8ce7tXe4p2FEmWRfVpJ582DXrtRHlQOgIM5fRNpF5CUReVFENibSakXkGRF5PbGuSaSLiNwjIttEZLOInFUIDUbE8cZFk+vp0wOv+ZttG3kz1PmHpGJTyJr/Rap6pqqendhfCjyrqnNxL8Jemki/BJibWBqBewuowYgqQ50/uEISjrCP2bYxepIPLybxPscSIMUM+ywCHkpsPwR8zpP+cOLp498DU0VkZhF1GFEgHnePIHsffEnGRsM34sds28ievXtTKzX19TBpUuAVm0I5fwWeFpFNItKYSKtT1eSkxG8BdYntWcBOz7W7EmnGWGZo0xhcDWn/fti5M/01pcFs2xg9fX3Q1ZVq22VlzrYDrvkXanqHj6vqbhGZATwjIq96D6qqikhO1bdEQWsEqKurY/369WnP6+np8T0WFGHTFDY9MFzTn7z6KuMmTOD/eNKmHD7MR4DNjz5K53nnlVxjArPtBGHTA+HTNFRP5Tvv8DFga1cXezzpH6qtZdrvf89/B6ndb8a30S7AMuAfgK3AzETaTGBrYnsNcKXn/IHz/JYozXyoGj5NYdOjmkbTRz6i+pnPpKZ1drqpG5cvL7oespjVc6zbdtj0qIZP0zA9//f/Ohv++c9T03/wA5cejxdVTya7zjvsIyLVIjI5uQ1cDGwB1gKLE6ctBh5PbK8FvpIYGfFRoFsHm9DGWCVd2KemBk48MbDmsdm2kTfpBjJAKDp9CxH2qQN+ISLJ/B5R1SdFZAPwMxFZAnQAX0yc/wRwKbAN6AWuKYAGI8qopnf+MDjNQzCYbRv54ef8vXP8XHhhSSUlydv5q+p24E/TpL8LfDJNugLX5fu5xjFEd7d752Q65z9/vnuhcX+/6ygrIWbbRt4MfXgxycyZ7p2qAdb87QlfI3j8akfgav4HD8If/1haTYZRCPbuhYoKN0W5l+TMtQEO9zTnbwRPJucfoilwDSNnvNOUDyXg51jM+RvBM3RSNy+nn+7WNsePEUX8+rLAtWq7umBPMGMCzPkbweMXFwWYPNm9g9Jq/kYUyeT8A27VmvM3gieT84fQTIFrGDkzUs0fArNtc/5G8MTjbuRDZWX64/PmwauvwpEjJZVlGHkzdFI3L8cf7/4YrOZvjFky1Y7A1fz7+mDbttJpMox8OXAAentHtm2r+RtjlpGcv73Vy4gimQYyJElO8NbfXxpNHsz5G8EzkvM/7TQ3VM7i/kaUyDSEOcn8+dDTAzt2lEaTB3P+RvDs3esfFwWYOBE++EGr+RvRIhvnH2Cnrzl/I1iOHoV33slcQCDoOX4MI3dycf4B2LY5fyNY3n3XPeE4kvOfPx9efx0OHSqNLsPIl5GGMIMb5XbSSVbzN8Yg2dSOwNWQjh6FrVuLr8kwCkE87l5LWlWV+byAWrXm/I1gydb5J5+GtE5fIyqMNJAhyfz58Ic/uMpNCTHnbwRLts5/0ya3/tKXYM4caGsrqizDyJuhL27347334P33Ydy4ktq2OX8jWLIZC93WBtdeO7jf0QGNjfYHYISbbGr+bW3w8MOD+yW0bXP+RrDE4+4lLbW1/uc0NbknJb309rp0wwgr2Tj/pqbhgxhKZNvm/I1gicdh+vTMb+nyewCmo6M4mgwjXzK9mtRLgLYdmPMXkYUislVEtonI0qB0GAGTTQGpr0+fXlEBGzYUXlMemF0bAOzb5yYizDTME/xte/x4N5dVW5vrBygrK3h/QCDOX0TKgdXAJcDpwJUicnoQWoyAycb5NzcPHy43fjxMmgTnnw+LFrk5/4tQQHLB7NoYINuBDOlsu7ISysvdi4yuuca1AlQL3h8QVM3/XGCbqm5X1T7gMWBRQFqMIMnG+Tc0QEuLc/Aibv3AA7B9O3zsY7B2rWs+F6GA5IjZteHI1vmns+0HH3QPNFZUwOHDqecXsD9gXEFyyZ1ZwE7P/i7gvIC0GEGS7Vjohga3DCVdzDRZQNKdX1zMrg1HNqPYkvjZ9sGD6c8v0CRwQTn/ERGRRqARoK6ujvXr16c9r6enx/dYUIRNU9j0gNP0m6ef5hPvvcf2AwfYMVp9N9wAwLgDBzjnBz/gcFUVm268ES0vh5B95yRRte2w6YHwaUrqOfF3v+NU4L+3baOvq2t0md19N/T1MWn3bhasWsWe887jtc9/3oWFCvGdVbXkC3A+8JRn/2bgZr/zFyxYoH6sW7fO91hQhE1T2PSoJjTt3KkKqmvWjD6jWMzlMXSJxXLKBtioJbZrjZhth02Pavg0Dei59VZnh319o8+stVW1qirVrsePd+lZksmug4r5bwDmisjJIlIJXAGsDUiLERTZxkUzka7DDODGG0ef5+gxuzYc8TjU1Li4/Wjx9geA6wQ+4QS4/PKCSAzE+avqEeB64CngD8DPVNUmbRlrFML5D+0wmzXLjQR65hlXVyohZtfGANn2ZY1EQwO0tztbfvRRN6Bh9er88yXAcf6q+oSqnqqqp6hqc1A6jAAphPOHwQLS3w+7dsGdd8ITT8C//VveEnPF7NoACuf8vXz+8/DpT8Mtt8Cbb+adnT3hawRHoZz/UK6/Hs46C77xDejuLmzehpEN2U7qlgsi8KMfQV8ffPObeWdnzt8IjnjchWgmTy5svuPGuVBQPA4331zYvA0jG4pR8wf3OtNvfxt++lMX2swDc/5GcCTf3StS+LwXLHDDQO+7D55/vvD5G4YfR464N9QVw/kDfOtbMHeum+n2/fdHnY05fyM4ilU7SnL77a4D+PLLQzH9gzFGyPbVpKNl/Hj4p39yc/+ccMKo7dqcvxEcxXb+kyfDF74AO3eGZfoHYyyQzbt78+Xtt93Qz+7uUdu1OX8jOIrt/AF+/vPhafYuAKOYFGsgg5empuGvfczRrs35G8GQ7Xzn+eI3D0qB5kcxjGGUwvkXwK7N+RuBUH7woOusKrbz95sv3S/dMPIll0ndRksB7NqcvxEIFfv2uY1iO/900z9UVbl0wygG8biLx9fUFO8zCmDX5vyNQKhMOv9idopB+vnSW1qCmO7ZGCvE486uM72aNF8KYNehndLZOLapSE5zW+yaP/jPl24YxSDp/ItNnnZtNX8jECpLFfYxjFJTioEMBcCcvxEIAzX/UtSQDKOUmPM3DH8q9+1zD2FNnBi0FMMoLOb8DcOfiq6uSBQQw8iFsr4+2L8/ErZtzt8IhIru7kgUEMPIhZINYS4A5vyNQKjs6rJ4v3HMEaW+LHP+RiBU7NsXidqRYeRClEax5eX8RWSZiOwWkRcTy6WeYzeLyDYR2Soin/akL0ykbRORpfl8vhFR+vtdIQlxATHbNkZDSZ9fyZNCPOS1UlVXeBNE5HTgCmAecCLwaxE5NXF4NfCXwC5gg4isVdVXCqDDiApdXUh/fxQKiNm2kRNRqvkX6wnfRcBjqnoI+KOIbAPOTRzbpqrbAUTkscS5VkDGEqWY9bB4mG0bvlTs2wcTJsCkSUFLGZFCOP/rReQrwEbgJlXtAmYBv/ecsyuRBrBzSPp5BdBgRIlSzHpYGIpi2yLSCDQC1NXVsX79+rQf3tPT43ssCMKmB8Kn6ZS9e3l/yhR+/5vfBC1lREZ0/iLya+CENIeagHuB2wFNrO8CvloIYVEtIBA+TWHTc/xvfsM8YEN7OwcC1HXTTTfR2dmZ3J0nIlsS20W1bVVtAVoAzj77bL3wwgvTnrd+/Xr8jgVB2PRA+DS9u3QpE2bPDpUmP0Z0/qr6qWwyEpH7gV8ldncDsz2HT0qkkSF96OdGsoBA+DSFTQ+vuEjIOZ/5jHsHaUBs2rRpYFtEXlbVs9OdV2jbNo5dKru64JRTgpaRFfmO9pnp2f1rIFlzWgtcISLjReRkYC7wArABmCsiJ4tIJa7jbG0+GowIkoz5T58erI4MmG0boyFKQ5jzjfkvF5EzcU3jduBvAFT1ZRH5Ga6z6whwnaoeBRCR64GngHLgQVV9OU8NRtSIxzl83HFUjAv1jOJm20ZuqLqa/1hw/qp6VYZjzcCw18qo6hPAE/l8rhFx4nH6amqoCFpHBsy2jZzZv5+yw4cj4/ztCV+j9MTjHJ46NWgVhlFYIjaE2Zy/UXr27qXPnL9xrBGdIcyAOX+j1LS1wWuvcfjwYZgzx+0bRtRpa4NFi9z2NddEwq5D3eNmHGO0tcHXvgb9/fRNmgQdHdDY6I7ZO3aNqNLW5uy4t9ftv/VWJOzaav5G6WhqgoMHATicfPy9t9elG0ZUaWoadPxJImDX5vyN0rFjx8Bmn3fuE0+6YUQOj/0emTAhbXoYMedvlI76+oHNztNOS5tuGJHDY7+/v/nmtOlhxJy/UTqam6GqCoD+isQo/6oql24YUcVj10eqq11aBOzanL9ROhoaoKUFYjG3H4u5/RB3ihnGiETUrm20j1FaGhrcsn49tLcHrcYwCkME7VpUNWgNIyIie4EOn8PTgXdKKCcbwqYpbHogfJpiqlryt25HzLbDpgfCpylsenztOhLOPxMistFvKt6gCJumsOmBcGoKG2G7R2HTA+HTFDY9mbCYv2EYxhjEnL9hGMYY5Fhw/i1BC0hD2DSFTQ+EU1PYCNs9CpseCJ+msOnxJfIxf8MwDCN3joWav2EYhpEjkXb+IrJQRLaKyDYRWRoCPe0i8pKIvCgiGwPS8KCIxEVkiyetVkSeEZHXE+uagPUsE5Hdifv0oohcWio9USBsdg1m2znoiYxtR9b5i0g5sBq4BDgduFJETg9WFQAXqeqZAQ73+jGwcEjaUuBZVZ0LPJvYD1IPwMrEfToz8fpDg1DbNZhtZ6MHImLbkXX+wLnANlXdrqp9wGPAooA1BY6qPgd0DkleBDyU2H4I+FzAegx/zK59MNsuLFF2/rOAnZ79XYm0IFHgaRHZJCKNAWvxUqeqexLbbwF1QYpJcL2IbE40nUvWVI8AYbRrMNvOhUjYdpSdfxj5uKqehWuyXyciFwQtaCjqhncFPcTrXuAU4ExgD3BXoGqMbDDbzo7I2HaUnf9uYLZn/6REWmCo6u7EOg78AteEDwNvi8hMgMQ6HqQYVX1bVY+qaj9wP+G5T2EgdHYNZtvZEiXbjrLz3wDMFZGTRaQSuAJYG5QYEakWkcnJbeBiYEvmq0rGWmBxYnsx8HiAWpKFNMlfE577FAZCZddgtp0LUbLtyE7prKpHROR64CmgHHhQVV8OUFId8AsRAXdfH1HVJ0stQkQeBS4EpovILuC7wJ3Az0RkCW4GyS8GrOdCETkT10RvB/6mVHrCTgjtGsy2c9ETGdu2J3wNwzDGIFEO+xiGYRijxJy/YRjGGMScv2EYxhjEnL9hGMYYxJy/YRjGGMScv2EYxhjEnL9hGMYYxJy/YRjGGOT/Bw0k4+2r6D9gAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0000, grad_step = 000012, tr_loss (epoch) = 944.288, te_loss (epoch) = 1068.918\n"
     ]
    },
    {
     "data": {
      "image/png": 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XMRbQ2hqRe8UtR+1MVwEak0pjKUlJcOedkJ8fOxt5HDggOe1W6T7hgv4AFL1v/zoccePcR4yQEqix0ovZtk18p22cu1vKTPMVKzy2GyLPbbfJxHusJBQUFsqtVbo/fPrpHGtQlw4/bGLVzlXVP8FC4sa5p6bCrbfC+++XF/OPZlx7mtrGuZtUGlvSrBnccINs5HH4sNXWBI/luk9IIKFfP/pthOk/TLPICP+IG+cOkh7mcMDZZ8vek9E852e5yCvjlkpT5srRNKk0tuDuuyVTLDMzNnSvFLRvb50NtQZeSZti+GrRDEod1aQiuZIMLLjwceXcv/5ahFFcLDHraJ7zKyyU0UjLllZb4sQtlaa4XTtJRo7rknz24ddfObUjUSzovm1byRSzjP4Sd++2Zi/zfp3n/Tz3JAMLLnxcOfdY2shj7Vro2FE6BLbBmUpz4NJLZQXN5ZdbbZEB+POfq2aJRbPuLR+tduiAbtWKQZtSmP7jdO/neSqEE8ELbyfXEHZiafm8LUTuhQPdu8udJUsstcMgxIrubZMhphSqf38GFCUw+6cP2H9sv+fzLL7wceXcY2XOr7RUhtqWi9wLh844Q+Lt0bKRcIwTK7rfuRMOHbKJ7vv1o+7B43TafpJZa2Z5PsfiCx9Xzj1Wls9v3CgO3hYi94BOSoKLL47MogILJ6yihVjRva2SCPr1AyB7VwYzVs3wfE5Ojiw2cCeQCx+ktuPKuVfe1CAlJTrn/Fwi79jRWjt80ru37Me3Z0/43sPiCatowaV7V4cxNdXoPmhatYJOnbh+R0O+2vwVhXsLq55z9dXiZNx3RPd356AQaDuunDuUL5//xz/g5EkpTRBt2KoH440+feR26dLwvYfFE1bRRHa2+If775dRn6voXDSxdq34StuEk/r3p92qzaQ4FDN+9NB7nzJF9LhoEbz3njjpDh38e+0QaDvunLuLkSPlh9S1Uj6aWLsWGjaExjarOJpXkEfbZ9qyYvsKOn49itLaKeENzcTKTGEEyc6WRKZ337XaksBZu1Z8Y2Ki1ZY46dePhMNHuPFIOx7/4nHUo4q2z7QlryBPdrX5178kfNOzJ1x2mTzH33moEGg7bp17q1YSOcjLi75iYq6MAaWstqScvII8xs8ZT1GxFA5bd2QTX7QoZd9n74fvTWNlpjCCnHeelAOOxsiVLTJl3OnbF4DTVxZRpssAKCouYvyc8XzzxD1SI2TiRDm3cWM45xz/nXsItB23zh2kF7N2rVSojSZsJ3JgUv4kjpbIMHLxvsUA5Gc6aLB2k6yeCQdW7NwQ5SglG2cvWQKbN1ttjf+UlcG6dTbTfePGrGmZTJ9fyyo0Hz9xlKbPT5Nf0gEDyg/07i0b2548Wf1rBzsZS5w79+uvlxheNPVijh6VL6WtRA5sKi4fLn68RzYR/jwTEjThi7tnZ0sWQXJy5HZuiAFGjZLR6ptvWm2J/xQVSTjJbrr/rE0JF22G2iXlbdf8D9rvLpVeu/vwuk8f+QIvX179C48aBfXri0Ovobbj2rk3bCibaL/5pvQMooF16+TWbiJvk14+XNRInOvblnA8WfkXd69J2tfGjbIe/S9/idzODTFAhw7Qq1d0dWrsmkRQ0KUZtcrgYlffRsPEL2BDkyS47rqKJwcSd1+1Ska8//53jbUd184d5Hrt2CET2tGA1SVPvZHTP4e0ZEn5Sk+SnYMT09I40P3M6sVc07SvWc7FIyNGBGl9/DFqFPz4Y/RsHG9X3V857jFKEqDfBnncbwP02Aa77hpTdea3SRPo0sW/zs5HH8nt4ME1ti3unftVV8noJ1p6Ma4ejL8ZVZEiu2s2U4ZOITM9k851OqNQ/Gfwf2h+1QhYuVJ2WfBGTdO+Zs6ULmi7dsGaH3eMGCG+5403rLbEP9aule9ps2ZWW1KREb3Gsb9bJwZvkkqoD34Bx5qk0+tBLxtH9OkDX3whMSZffPQR9OgBzZvX2La4d+6pqTJ6evddOHYs8u8faDRi7VqpBFm3biSsCwzXVmTXtLkGjaZZWjOZRNLad9y9Jmlf//uf/GjcdFNQNscrGRky1/fGG9Zki9VE93bLEHPRbMgIum8p5dOMPzJgPey7YyzUru35ZH/i7rt2wbJlsk9iEMS9cwcJzRw6BB9/HNn3rUk0wo6ZMpXp3qA79VLq8eEvH8IFF0h9Vl9D0datPbf7Svt66y35pt9wQ3DGxjGjRkko9+uvI/u+Mad7hwMcDgbe9RQHasGM+uu9n+uKu/v6Pnz6qVwY49yDp29fGf1EOjRTk2iEq9SvnUlJSGFQh0HMWTsHR60UCZ34irsPHVq1LTXVe9qXK9Wjd29o0SIkNscj114rl9nuuj9+XH4AbKn7vDxZrAQkaphzBsza+LH3i9q0qewW5Ov78PHHoutzzw3KNOPckdjjyJHwySew30v1znAQaDRi3z4p1WLbHowbw84Yxo7DO/hu63fihH/4QXZJqczBg7I0u127ij31u+/2nh2wapWEZUaODI/xcUK9elL+ZNas6kPAoSRQ3f/6q/ye21L3kyZViOceTIGVGZqixx7w/hxfcfeTJ2HuXJkMDDIGZZy7k+xsua6RXJbtbRclb9EIu2YMeGJwx8EkqkQJzfTpI0PXL76oeuLkyZKu9Oab0j07cUJmiz/7zHt+6syZssDj+uvD+S/EBaNGSYdh/vzIvedpp3lu96Z7u6ZBAlV+kQY6s2bm1PWxUXPv3nDkCHz/fdVjX3whHZ6rrgraNOPcnWRlybDP22jKNQG0YkVoKstu3151VyjwvQjN1iKvRMPUhlyWeRmzf5ktcffk5KpxxoICeO45Cbi6KrilpMDjj8Pq1TDDQzEmV0hm4EBJLTMExaBB0KhR9boPVUXlwkLPiQv+6N6WYZlKv0id9sKZu+HDbl4mVEGcO3gOzXz0kcxRObfyCwbj3J0oBV27yvVWqqKQ3SeAIPjKslu3Sme2uFi2QHOVIAapVuktGrF2rYSQoiXzb9gZw1izew2/Ht8ucXd35+5wyI7lDRvCY49VfOL118v5Dz1UNTi7bJl8ACYkExJSUqB7dxkMffVVglfdh6Ki8i+/iF9LTJSP3KV7peA///Gt+4wMSE+v2fuGFQ/F8q9en8TiliUcOH7A83OaNYPOnb079759Q5IOZ5y7k7w8ibm7KCqC226Dv/8d/vjHch9TUCC9xZpWlt28WRz7tm0SWvvrXyVjoaCg+ueuXSuOPSUl8Pe1gqvPuBpAQjO9e8uw59AhOThjBnz5JTz5pHQd3VFKLvzWrdKzd+fNN6VnM2xYBP6D2CcvTz4GrWHNmiandP/kk/CHP4SuovJPP4kEysrEpz34oOh+7lx57wYNvD/X1pky7ptEOMsEDLvu/1FKGZ+t+8z783r3lhBMaWl529q1MrQJMkvmFFpry/+ysrK0NxYtWuT1WCjJzNRaZOb/n1L+vXZubvnrJyVpnZqq9ddfVz2vc2etL7vM++t076714MFV2yN1jfzF3Z6uL3TVvV/rrfX8+XIBPv1U6337tG7aVOsLL9S6rMz7Cw0dqnX9+lrv3i2PS0u1Pu00ra+9NiB7gOU6jrXti0jpPiFB6/R0rX/6qeI5JSVaN2mi9YgRVZ/vuj7Nmmk9blwQ/2QI8eczKy0r1c3+0UyPfGek95PeeksuzLJl5W3//Ke0bdjgtz2+tG167k58rZdxXxVXu3b5L60/1Tcrh3RKSyUi8euvVc8dMULW+mzbVvWY1vKjbtsejBeGnTGMpZuWsneDc537lVfKhduzR3alSfAhwSeegMOHy4OxS5bIZIXbwiVXDfmERxPKa2kb/MZd9/37F1U45m01aE1073DIXHnlOUTXvPicOVVHCSChy127okv3iQmJDOk4hE8KP+FkmZcKkK64u3uo8qOPpDxB27YhscMv566Uul8ptUYptVopNVMpVVsp1U4ptUwptU4p9ZZSKsV5bi3n43XO46GxNMx4E2xmpqSxusJq55yzG/Cdhu2Op5zeEyc8D21vvFGc+NtvVz22fbtMsEeTyAGGnTkMh3bw8ct/Km88fFgCr9UVNuncGW69FZ5/Htavl5BMnTqnMgnca8hr9Kla2oE4+HjQti/cdX/llRtO3a+sexfB6P74cc+6HzFCzvW0iDCaMsTcGXbmMA6eOMiSoiWeT8jIgDPd6i4VF0vPLgRZMi6qde5KqZbA74DztdZdgERgJPAk8LTWugOwHxjnfMo4YL+z/WnnebbH1ybC7mG188/fAcDYsf4VaQskp/fMM6We/1tvVT0WTZky7px32nm0OJLI7HaVejClpf4Fbx99tHy2e8oU+fV7XzYAca8h7+JoyVEm5fsXFI4XbfvCX927mDAh9Lq/7DLxdbGk+wGnDyA1KZUP//eh95P69BGHXloK8+bJbaji7fg/oZoEpCqlkoA0YDvQD3jHeXw6cI3z/jDnY5zH+ytlx4oQFfEwL1KhfLJr79Xhw4s5/fTyHkV1BLqhyogRshy88pfA1ulgPkhQCVz9cxmfdYATlbdH82fLsEWLZEzv6gYePXoqZcO9hnyFl/XS7oWY17YvKjtwb7o/dkyyVbb6SN92JxDdJybC8OHSc3fNt7tYu1a+j6ef7t/72oW05DQub385H/7yIdpb8Z4+feQfXrlSQjKNGknacIhIqu4ErfVWpdRTwCbgGDAPWAEc0Fq7AtBbANeSnJbAZudzS5VSxUBjYI/76yqlxgPjATIyMljsZTnu4cOHvR4LNS1bwrRpFdsqv/WRI4e57LINTJ/ellmzvqFZsxM+X/Ohh1K4444LuOiirQwbJoH2hAT5Enn6tzIzawMX8MQT67jxxi2n2vPz25OS0oJ165ayvlLpikheI3+obE+7Pndy5PCLPJ0zjt4HMzjhyo5JSam+HPC+fSROnkyvxx9HORx89cgj6KQk2LePZ896lj0n9vC39X+jd8PeXNVUhrQpiSl+XY940rYvXLo/fPgw06YtBjx/LJde2om3385g5MivSEvzvQHChAl1+P3ve3DVVb/St69s+eRL9506pXP8+Lk8+eRPDBiwCxB7li7dSUZGfb75ZlnN/8EQEshn1kl34sODHzL146l0qFu1jGtKcjIXAb++/DKtP/yQ/T168LOnhX41xdtMq+sPaAgsBJoCycAHwGhgnds5rYHVzvurgVZux34Fmvh6D7tnFLizaNEi/euvMqn92GPVn/+Xv8i5LVpIlkFmpmQR+CIrS+sePSq2DR2qddeu3m2yE5XtOf76a7ru/0PfMcQt5SItrcKFyF2VqzOfztRqstKZT2fq3FXOY0p5TdnIXZWrk/+SrJnMqb+0nLTy5zrBS0aB0XZFqrPnyy/l0r/2WvWvdeedWicna92qlX+6LyvTumVLra++uqI9WVlaX365P9ZHhkA+s52Hd2o1WenJiyZ7PedI0wa6RImm99RReunjvw3IHm/a1n5mywwANmitd2utS4D3gIuBBs6hLEArwDVg2+r8QuA8ng7s9fO3Jio4/XS49FKYPt13udTSUnjpJbj8chnO+ruhyogR8N13VOih2zrXtxpqjb6ZQQ17MrtzIg5FlbG/z4lRH+P7UV1G0TitMbUSa6FQZKZnMmXoFLK7+r1jjdF2AFx4oVSG8LRw2J3iYnj9dSltsHmzf7pPSJACn599Vl76X+vo1n2zOs24qPVFss7DA188cRfJew+Q5PQhjY9ozn34v3zxxF0heX9/nPsm4AKlVJozvtgf+AlYBAx3njMWcP0Hs52PcR5f6PyFiSnGjpUVd99+6/2cDz8Up3733YG99o03yq1ro6HSUkmdjFaRAwy7/F62p5WxfPOyKt/0Bxc86H1i1MeM39JNS9lxeAcvDXkJxyMONt63MRDHDkbbAaEUjBkj0yBFRd7PmzFDMrsC1f2IEVLfafZsebx/fwqHDkW37q8+42p+2PGDx3mg+s+9xCfOObS9qXJbpwTa/n1KSN67WueutV6GTB59DxQ4nzMFeAD4vVJqHRJ3nOp8ylSgsbP998DEkFhqM264Qerx++rFPP+8dFIDzW7KzJR5FVf2wMaN4uCjWeRHSo4A0OuVXqfy0Qv3FjLh0wlsPrjZ43M2FW/yOdP9yvevUL9WfYZ3Hu7x+dVhtB04v/mN3L7+uufjWsvyhR495C8QevWSj9el+82bxeNFs+5d8+2Zz2Se0v2qnau4bfZt9LrVwZ1D4GQC/Pd8KHF64xb7Q7Ohc7UTqgBa60eARyo1rwd6ejj3OBDzOyjUry/1sGfOlHzgWrUqHv/pJ+nhPP541a0U/WHECLj/fhmW2nVTbH/JK8jj93N/f+pxUXERY94fg0M7SE5Ipk5ynVPO351Tm25nZ1cZ0xcfL+adn95hTLcx1EmpU2PbjLYDo21bSfKYMUMyWSvnCi1cKNWYKycm+INSMmp9+mkpb71li4zYoln3kxdPPvXYXfepSakM/5/igaWaJZnwSF9ofgRu+x62NUykVQje36xQDYKxY6X+u2svW3deeEGSQcaNq3rMH264QcT+1lvRm+vrwlM+ukM7SK+Vzqb7N/HS0JdOba7tIjUplZz+3lfLzFw9k2Olxxh3bg0vsKHGjB0rqcDffFP12PPPQ+PGNd+zfMQIGaW+/7703FNS/FsRa0e86b5B7QZs+f0W7jj/Ttrth/4boOdWeLQ37K0NG/80PiTvb5x7EAwYIBumTJ9esf3QIenZ3HijbLxSE1q2hEsuKXfuDRvKlyYa8ZZ3fvDEQZrXbV5hc20Xfdv19Rk/n/rDVLo268r5Lc4Pub0G31x/vUx7VNb95s0yzzRunPctRKvjvPOgfXvR/ZYtaXToULORrx3wpvvi48U0Sm3EJRNf4Ie//JatDRP5Wz5sSYfJky7ikokvhOT9jXMPgsREGD1atjzctau8PTdXHHygE0qVufFGWaH/8cf23RzYH06FV3y0uzbX1o9oxnQbw8INC9l60POKmR93/Mjybcu57bzbiPI1RFFJvXqyqfxbb0lJAReuBcR33lnz13aFZhYuhF9+qRe1o1XwT/eXTHyBVvtK6b9BM/D0gbxZay2HThzy+LxAMc49SMaMkWHkzJnyWGsZmp53nkwQBcPw4SL2TZukjHkoNkuwgpz+OVXCLmnJaV7DLpN7T6bMUcZfl/zV4/GpP0wlJTEl0MwYQwgZO1ZSFl2ZLSdPwssvS/JAsPsN1K0rpYH37KnFwoXRqXkIXPc5/XLYc3QPT3/zdEje3zj3IDn7bNnFyTVEXbJEett33x18Tzs/v+JrBLtZglW4h138yUdv17Ad47PGM/WHqazbt67CseOlx8ldlcu1Z15L47QojVPFAH37QqtW5dli774LO3cGP1rNy4O//a388cGD0al5CFz3PVr24LqzruOpr55iz9E9Hs8JCG+rmyL5F+2r+J57TlburVql9Q03aN2wodZHjgT/Xt5qbWdmVm+TlYTCnu2HtuvUv6XqUe+OqtD+xqo3NJPR89bN8/u1MPXc/SJQex58UOvERK137ND64ou1bt/ed3l+f/BX81YR7s9sza41OuHRBP3HuX/063xf2jY99xBw000Sf7/gAinXW1Z2qnBhUAS6S3ws0bxucyb0msDMgpms2rnqVPvUH6aSmZ5J/9OD32PSEBxjxojW27eX3Zz27SsPT9YUd23361fksT2W6dy0M7855zf857v/eJ1z8hfj3EPA3Lly6ypcGKqhZKAVJWONP138J+rXqs+fF/4ZgA37N5C/IZ9bz72VBGWkazUrVkjZgCPOJQr79weve3dtDx68wWN7rPNI70d8zjn5i/mGhIBJk6QH405N95p0x1et7XigYWpD/nTxn5izdg5fb/6a11a+hkJxc/ebrTbNgOjb4ajYFqzu413z4HvOKRCMcw8B4QqfVFdjPh6Y0GsC6bXS6Tu9L39d8ldqJdVi6aalVptlIDy6r66+fLzw58v+TIJKoNuL3Wq8haRf5QcMvmnTxnMhpVAMJT2svI8rPvjlA46WHKXEUQJItsz4ObKCz6RCWku4dO/S/OLFUlcpHsnfkI9DO06tcHVVSgX/dW967iHADCXDx6T8Saccu4tAttIzhA+j+/AxKX8SpY7SCm2B6t449xBgwifhI0Rb6RnCgNF9+AiF7k1YJkTEe/gkXLRJb0NRcdWxv7el3YbIYnQfHkKhe9NzN9iaQJdwGwyxQCh0b5y7wdYEuoTbYIgFQqF7pW2wS5hSajfgbeOuJlTaXd5i7GYP2M8mu9mTqbWuYfHl4DDaDgq72QP2s8mrtm3h3H2hlFqutbZN0W672QP2s8lu9tgVu10nY0/12NEmb5iwjMFgMMQgxrkbDAZDDBINzn2K1QZUwm72gP1ssps9dsVu18nYUz12tMkjto+5GwwGgyFwoqHnbjAYDIYAMc7dYDAYYhDbOnel1CCl1C9KqXVKqYlW2wOglNqolCpQSq1USi23yIZXlVK7lFKr3doaKaXmK6UKnbcNLbZnslJqq/M6rVRKDY6UPdGA0bbH97eVrn3YFDXatqVzV0olAs8DVwKdgZuUUp2tteoUfbXW3S3MdZ0GDKrUNhHI11p3BPKdj620B+Bp53XqrrX+JIL22Bqjba9Mw1669mYTRIm2bencgZ7AOq31eq31SeBNYJjFNtkCrfUSYF+l5mHAdOf96cA1Fttj8I7RtgfspmsfNkUNdnXuLYHNbo+3ONusRgPzlFIrlFLjrTbGjQyt9Xbn/R1AhpXGOLlHKbXKObSN6HDa5hht+48ddQ1Rom27One7conW+jxkSH23Uuoyqw2qjJbcVqvzW/8LtAe6A9uBf1pqjcEfbK1tm+gaokjbdnXuW4HWbo9bOdssRWu91Xm7C3gfGWLbgZ1KqdMAnLe7rDRGa71Ta12mtXYAL2Of62QHjLb9x1a6hujStl2d+3dAR6VUO6VUCjASmG2lQUqpOkqpeq77wOXAat/PihizgbHO+2OBDy20xfVFdHEt9rlOdsBo239spWuILm3bcicmrXWpUuoeYC6QCLyqtV5jsVkZwPtKKZDr9obW+rNIG6GUmgn0AZoopbYAjwBPALOUUuOQ8rI3WmxPH6VUd2QYvRG4I1L22B2jbc/YTdc+bIoabZvyAwaDwRCD2DUsYzAYDIYgMM7dYDAYYhDj3A0GgyEGscWEapMmTXTbtm09Hjty5Ah16tSJrEE+sJs9YD+b7GbPihUr9li1h6rRds2xmz1gP5t8altrbflfVlaW9saiRYu8HoskublaZ2Zq/dRTi3Rmpjy2C3a5Ri7sZg+wXMe4tl36VErXWJ92+9zsZo/W9rPJl7Zt0XO3O3l5MH48HD0qj4uK5DFAdrZ1dhkMYPRp8IyJufvBpEnlX5xt22RIdvSotBtCQ15BHm2faUvCowm0faYteQV5VpsUNbjr04XRZ2hx6XPF9hVRo0/Tc/eDTZvK7//rXz08thtqTl5BHuPnjOdoiXioouIixs+Rrmd2V9P1rA5vOjT6DA0V9JkRPfo0PXc/aNMmsHZDYEzKn3TKsbs4WnKUSfmm6+kPRp/hxV2f64+uB6JDn8a5+0FODqSmyv2MjCMAJCVJuyF4NhV77mJ6azdUJCcH0tIqthl9hg53HX6691OP7XbEOHc/yM6GRx6R+717b6ZOHdAazrdqL6YYo0265y6mt3ZDRbKz4fHHyx/XqwdlZXDmmdbZFEu463DDsQ0e2+2Ice5+4uoZXXvtAX79FerWhbvvFidvCI6c/jkkJVSc/klLTiOnv+l6+kuDBnL7448Sa2/aFO66CxwOS82KCXL655CWLA6gTqIkVESDPo1z95P8fGjXDpo3P05Ghgx58/Nh1iyrLYt+srtm0yi1EalJqafaJveZbOvJKruRnw9NmkCXLuLon3oKvv0WXnnFasuin+yu2UwZOoXM9Ex6N+wNwIOXPGh7fRrn7gdlZbB4MfTvX952551w3nlw//1w8KBlpsUE6/evZ9eRXTw54El2/nEnqUmp/Lz7Z6vNihq0hoULoV8/SHB+o0ePhssug4kTYfdua+2LBbK7ZrPxvo3cdcZdpNdKZ+WOlVabVC3GufvBDz9AcbF8eVwkJsJ//ws7dsDkyZaZFhMsWL8AgAGnD6BZnWbcft7tvL7qdYoOFFlsWXSwbh1s2VJRn0rBCy/AoUPi4A2hoU5SHe7teS/v/fye7Tsgxrn7wcKFctu3b8X2nj1lJeBzz8GqVZG3K1ZYsH4BLeu15MwmMgP4x4v+iELxj6/+YbFl0YFLn+7OHeDss2Vk+eqr8OWXkbcrVplwwQRSk1N5/IvHqz/ZQoxz94P8fPmiNG9e9dhjj0HDhjB8OGRmyrC4bVtZEm6onjJHGfkb8hlw+gCcOwHROr01Y7qN4ZXvX2HH4R0WW2h/8vOhdWvo0KHqsYcfhlatYNQoo89Q0SStCXdk3cEbBW+wYf+G6p9gEca5V8PJk7B0adVekYtGjeDaa6GwULIUtC6v7WG+QNWzcsdK9h3bx8DTB1Zof+DiByhxlPD0109bZFl04HDAokWiT+dvYwXq1oXrrhNtGn2Gjj9c+AcSExL5+5d/t9oUrxjnXg3LlsGxY96dO8DcuVXbTG0P/5i/fj4A/U/vX6G9Y+OO3Hj2jbyw/AX2H9tvhWlRwerVsGePb31+8EHVNqPP4GhZvyU3d7uZV1e+yvZD2602xyPGuVdDfr4MZfv08X7O5s2e201tj+qZv34+XZt1pXndqjGvBy95kMMnD/Pvb/9tgWXRQX6+3Ppy7kaf4eGBSx6gzFHGP7/+p9WmeMQ492pYuFBSHl2LRDxhanvUjKMlR/li0xcSksnLk2CwW1D4nIxzGNppKM8ue5bDJw9bba4tWbgQOnWSuLo3jD7Dw+kNT+emrjfx4vIX2Xt0r9XmVME4dx8cOQLffOO7VwSea3ukpZnaHtXxxaYvOFl2kgFFiRIELiqqEhSedOkk9h3bx0vLX7LaXNtRWgqff270aSUTL57IkZIjPLfsOatNqYJx7j744gsoKam4eMkT2dkwZUp5TygtTR6bjRJ8s2D9ApITkrns7296LUjeq1UvslRL/v7BHzmarNjSKIkvnrjLGoNtxvLlksceqD5r1zb6DBVnNzub81ucz9+W/A31qLJVrXfj3H2wcCEkJ8PFF1d/bna2dDgnTJAfhCuuCL990c789fO5qPVF1Fm/xfMJRUV8P2EEj87Yyq46MKM7tNpfxrkP/9c4eMrz233NB7lw6fOhh+DECbj00rCaFjfkFeRRsLMAB1LEx1Xr/ZSD9xBujBTGuftg4UK44AIIZD/ccePEuZs0M9/sPrKblTtWSrzdR/D3vOdmMfhXmDsDvmkJGqhTAm3/PiVyxtqUhQuhWzepKeMvt9wika9p08JmVlwxKX8SJ8pOVGg7Vevdtf+hh3BjJDDO3Qv798OKFdUPeSvTtSv06AFTp5qKkb7I3yBpHgPbD5Tgb0IlKaalwTPP4AAUcOkmmDIH1jj3eW+xvyyi9tqN48dl1Wmg+mzXTp7z2mumYmQo8LkXgcX7Hxrn7oXPPxfnXN1klSduvRUKCiQmavDMgvULaFC7AVmnZcHll8vFrl9fVuJkZkpQeMIEtjVMBKBUwbZ60OKQPN/VHq98/bU4+Jrqc+NGWfxkCA6fexFYvP+hce5eWLhQOo+9egX+3Jtukp2bXn019HbFAlpr5q+fT792/UhMSIT33hPnvnSpdCc3bjw127fxT+M5kgz1SuDlLEgthZIE2PiH26z9Jyxm4UIpXleT2Pm110pq79SpITcr7nCv9e4iNSlVar1bnINqnLsX8vPli5OSEvhz09Ol1swbb1QdlRmgcF8hm4o3MaDdAGmYNQvOOENiWpW4ZOIL/PCX37KlYSKXFsFvr4JkB1xyqEFkjbYZ+flSuK5+/cCfm5oqv53vvSfhR0PNca/17mL0OaOl1ntOjqQmuRPBHFTj3D2wYwf89FPNhrwubr1V6ry/+27o7IoVXCV+B7YfCDt3SrH8G2/0XBwFcfCt9pUycG0p8y49jc/6Z8KTT8L770fQavtw6JBsxBGsPk+ckA6IIThctd4dDzvo2KgjhfsKnQeyYcSI8hMTEuCllyKWg2qcuwdcschgvjy9e0P79iY044n56+eTmZ5J+4btpfvocIhzr4bEhERGnzOa6y/eQknWuTB2LKxdGwGL7cXSpbKBTDD6PO886N7dhGZCiVKKMd3GsHjj4vK9CPbsEUcwZYro/MILI2aPce4eyM+XmOS559b8NZSS3tHixfDrr6GyLPopdZSyaMMiBp4+UEr8zpoFZ50lNZX9YEy3MRxNKCP3oWFQq5aUPDwcX6UJ8vPlXw/WT4wbJxvR/PBDaOwySEgGIHdVrsx4L1oEgwZJDA1kyBUh/HLuSqkJSqnVSqk1Sqn7nG2NlFLzlVKFztuGznallHpOKbVOKbVKKXVeGO0PCwsXysKQxCATMsaOlZGY6b2Xs3zbcopPFEtIZscOSUvyEZKpTJdmXTi3+bm8sOsjePNNiZ9lZMjzA1wkEq26XrhQFtalplZ/ri9GjZIfCaPP0NG2QVt6Z/ZmxqoZ6KVLZdJt0CDpvKSm2su5K6W6ALcDPYFuwBClVAdgIpCvte4I5DsfA1wJdHT+jQf+Gwa7w0JeHrRsCRs2iM8Jdq1By5byuU6bJnVA4pm8gjzaPtOWC6dKd3PfsX0yIaE13HBDQK81ptsYlm9bzk+bVkBSUvmsdQCLRKJR13l5sinHypXw/ffB69O1F0FennQy451QLSYd020Ma/euZcfbr0lGRt++otOsLHs5d+AsYJnW+qjWuhT4HLgOGAZMd54zHbjGeX8YMEML3wANlFKnhdbs0ONaTLZtmzzevz80i8nGjZPXnDcveBujlbyCPMbPGU9RcfmeqH+Y9wd2vvYf6NzZ75CMi5u63ESiSuT1j3JkObA7/i8SiSpdu/S5xVmp4cCB0Olz//64nZs+RSgXkw7vPJzUpFT03M9kl3LXEveePeVXubJmw4Q/zn01cKlSqrFSKg0YDLQGMrTWrir1O4AM5/2WgHsF6S3ONlsTrsVkQ4ZIutoNN8TvFmeT8idxtKTixa2/7yhNv/+fXxOplcmom8GgDoPIzTxImadojn+LRKJK1+HSZ79+Ur7g1ltlRXY86hNCe33r16rPbU0up8Wm/ZRe7rbDWM+eMkRavTo4Y/0kqboTtNY/K6WeBOYBR4CVQFmlc7RSKqDF9kqp8cjwloyMDBYvXuzxvMOHD3s9Fir27k2hfv2OQFOaNz/MiBG/0Lr1oVPH3d8+UHv27YNzz23P0qUtefjhr6lXr4RduyRJpFGj0NgfiWsUCJXtuTfjXhzNHLyz8x2+Pfgtd7a6k+FLd5CgP+DbzEyO1sD2rKQsPk7/mGcev4OspI4VD6akVPzQPBAuXUPotX3gQDJNmrSnqKg5TZocZcSIX2jXrvjU8WA++n37ICsrk7lz25GSUsa99y4OuT5rSiR1fc89MGdOe5Ysac1NN/1MVtbOU8dq8v2/6geZsJuStInOzvNrOxxcAPzy+utsLy72/uRQobUO6A94DLgL+AU4zdl2GvCL8/5LwE1u5586z9tfVlaW9saiRYu8HqsJublaZ2ZqrZTWbdpofcstWqenay2Dsap/mZnB2ZOZ6d/rBkOor1GwVLanzb/aaCZT4e/zNuifT0uu8XscKzmm0/+SpscMT6x4YdPS5EN2A1iuLdC1roG2K+vzjju0btzYf30Girs+Bw7cEBZ91pRI6bq0VOu6dUP7/S+75hq9pUGCHvbG1eWNDod8mLfeGjLbfWnb32yZZs7bNkhc8g1gNjDWecpY4EPn/dnAGGd2wQVAsS4f5lpK5bjapk1SQKllS3jqqfBsaGBxeQnLOV56nMZpjSu0tTgIl2yGE9ddXePXrZ1UmxHdR/Nu1yQOt29dsSaNn4tE7KZrT/p86SXpQT/xRPj1+e23zT22xzIlJfCb30g2bVKlOEaNr+/JkyTk57P5oi58vO4T9hzdI+1KSWgmQpOq/ua5v6uU+gmYA9yttT4APAEMVEoVAgOcjwE+AdYD64CXkd6QLfAUVwP5YP/wB/ELmZk18hNeiectzg6fPMyQN4bww44fGNttLJnpmSgUt29oSIKGbvf8LajXH9NtDEf0Cd57929VatL4ia107U2fJ07AAw+EX5/FxbU9tscqx49LmZCZM+XHc9q0EF3fr7+GQ4c4bfgtlDpKeXP1m+XHevaENWtkmXG48dalj+RfpMIySnkeeinl/2sEak9urkQKqokcBIVdwjK5q3J15tOZ+qk3ntKt/9Vad3yuo054NEFPXzm94okXX6z1OecE/X4Oh0Of/uzpuv/0/j7Pw4+wTLj+AtF2KPQZKO76rF//eFj0WVPCGZJt3VrrLl3k/37++RDbNHGi1klJWhcX6+4vdtc9pvQoP/bxx/KmixcHar5HfGk7rlaoWtGLdm1xllleV4h//CP2tjhzT3c8XHqYzQc3U7ivkHt63sOYbmPKT9yyRQqR1yBLpjJKKbo3707+hnzbbXFWE6zWZ8+eEmV67LEY1GelkNfmzZK0Mn483OXPGMyVBO9PStGnn8oqs/r1Obvp2Xy37btT+nynjjMdOAKhmbhy7jk5Vas8RqJIW3a2RAx++kkex+Jqefd0xxe2vHCq/cP/OUPWri9H69byuFatoN8zryCPTwo/OfW4yhZnUUZOTtXLEkl93nbbdhISYPfu8L6fFXgLec2d68eT3X8ZwHcS/LZt8OOPMGgQeQV5vPfze6cOFRUXMfbLP3KoZVPj3ENNdjZcdVX541DFLf3lrLNkTcNLL8XeLjjuO9IUlxRXbK/85QB45JGgE6on5U/ieGnFpZWntjiLQrKz4frryx9HWp8ZGScYPFiKiUVonU3ECCqxwe2XoaGrUJ23JHjXr8WVVzIpfxLHSo9VOHy05CiLmx0xzj1cdOokQ7PA59+C5847Yf16Kf4US7jvSHN3m7srtodpBY7PLc6ilORkaN7cWn3u2AGzZ0f2fcNNUCEvt1+ALq+95rH9FJ99Jh/gOed41eHipkfluTt3ejweKuLOua9e7XFPiIhx3XWyIvDFF62zIRy470jTolYLANKS02RHmjDlg/rc4ixKsVqfgwaJw4s5feYEkUrq9gtw3H1lV+VfhtJSmD9fLqJSXnVYdIZz0fN33/nx5jUnrpz70aOwbh106WKdDbVqyQ70H35YXscmFqi8I01meiZThk6RHWnCNFPoaYuzUz8oUUhZmWTJWanPxES4/XZYsAAKC62zI9RkZ0s41FV8NKCQl9svw4933FHefvPNFc/79lsp1HPllfI0L1vwDc/OkQsd5tBMXDn3n3+W4a6VPSOQ8HNZWextlODakSbrtCw23rdRHDuEbabQ/QdFoSr+oEQh69dL7rXV+hw3TnzPlCnW2hFqrrhCvv/PPBNgyMstpehk/fqy6jEjA55+GpYvLz/vs8+kgNQA2T7S0xZ8484bx8he4+QXvDrnHmSZyrhy7gUFcmtlzwigQwcYOBBeflmcfMyTnQ0XXFDDblM1L+3a4uwRR8UflCjELvo87TS45hpZvX3ihLW2hBLXSKRDhxo82ZVSlJUl6bzffQeNG8sX2bXbyaefis7dQjcufZY+VEqLei3K4/CularaS+miEJSpjCvnvnq1dCBr9OGGmDvvlFzbTz+12pIIcOSIlDodO9a6mcIoYPVq+f3r3NlqS0Sfe/fG1h7A69bJbceOvs/zi9atZdeU+vUlBS4jQ3rxa9Z4dMCJCYmM6jKKTwqd5Qh69pQQjrdt2kKQhBBXzr2gQL44we6wFAqGDpVJ9VibuPLIe+/JcutbbrHaEltTUACnn15e/ttK+vWTrT9jSZ+FhfLdb9cuRC/Yti3cd590XnbtkrbiYq897NHnjKbUUcrba96GHj2k0VtoJgRJCHHl3K3ORHAnORluuw0++aRi+ndM8tpr4rUuvdRqS2zN6tXWh2RcJCTAHXfIZtyuxXfRTmGh+OPk5BC+6LPPVg2teOlhn5NxDl2adSG3ILf6bfdatfLcHkASQtw49337JDvFLl8ekKwEpeCVV6y2JIxs3CibBN98s9/7pMYjx4+L87FL5wPkI0tJkSyTWKCwMAwh2QB62EopRncdzVebv2L9oU2+t93zZGiASQhx49xdm5/Y6cvTpg106waPP16j/Z2jg+nT5Z8bO7b6c+OY//1PJtft1Plo2hTOPx/+/e/o16fW4txDEm93J8A031FdRwGQtyrP+7Z7778vHaIhQ4IqUxl3zt1OX568PBnyujJmgtm30ZY4HFJHtX//+KghGwR27Hzk5UmdLFfUIZr1uXu3TPuE3LkHuDqqdXpr+rTtQ25BLrpHD0lHcqVJAWzdKvHarCyZzd64sablrOPHuRcUQIMGkqJqFyZNqppqFop9MW3D55+LKCsv9jBUoaBAYsEhdz5BEEv6dKVBhvz6upfV9LOHPbrraNbuXcuqTGf9fFdoxuGQEe7x4/ILWrnKYYDEjXN3TVbZKewb87s0TZsmqWLXXmu1JbZn9WopLBfSyb4giSV9BpXjXh2uHHg/e9jXd76eWom1eHX/QqlF4nLu//qXFJ169lk444ygzYoL56619IzsNOSFGN+l6dAheOcdGDmy6rDVUIWCAnuFDCG29OlKg2zb1mpLoEHtBgw9Yygz17yJo2ULyM2VXuf//Z+kSI4bF5L3iQvnvnWrpJ/a7csTVDEjuzNrlozhTW57tRQXy4I2u3U+POkzNTU69bluneS322VkNLrraHYf3c2v29ZUnFBdvRreeCMk7xEXzt0uy7or42mXpr/+NUYWb06bJkPLXr2stsT22HGyHzzr889/jk59hiVTJgiu7HgljY4n8H7HSvVHjh0L2aRGXDh3u355oDxc54pjHj/u8/SoIHXLFvjiC+m122mSw6bYMVPGhUufe/ZAUhIcPGi1RYETtjTIIEhJTOHG1Q6e6wVVqsuEaFIjbpx7ixYV6vnYjtat4ZJL4M03qz/Xtjir2DWfNk0e22EdfRRQUAB169o7lt24MVx+uejTW60ru7Jzp2xtaYeaUu6M3pnB1nSYVbmWUIiEEBfO3Y6TqZ4YOVJsXbPGaktqgFsVu+auMqgPPBCdSdERxo6ZXJ4YOVJy3Zcts9qSwAhbGmSQXPS7p2h7AF49r7yttHZKyCY1Yt65l5XJQiE7hmQqM3y41PR46y2rLakBblXsahU791CN1qToCGLXTC5PDBsmVVWjbXQZ0mqQIeSNbor6JQksOB221YWN6XD7UE3eOaF5/Zh37uvWyUKMaPjyZGRA377ROfR1jxOWuKdYRGNSdATZsUPqHkVD56N+fRg8WBKhomkfgsJCmS9wnxi2A5PyJ7GqqQNHArT8I7S7H6adXRKyDd5j3rnbeTLVEyNHihhd9f+jBrc44Yrf/c5ju6EqrkyuaOh8gOhz+3apFhktFBZKGmRSktWWVCTcG7zHvHMvKLDPBgj+cN11IsJoG/q6J0Ufb9JE2mImaT98RFvn46qrZJ48mvRpt0wZF+He4D0qnXsgWwuuXi2z5KmpkbIuOBo1kr0e33pLVjNHDZWTokO4lV4ss3q1hOOaNrXaEv+oUweuvloWH1cuZmhHtJbQrB2de7g3eI865x7o1oLRMlnlzsiREqr+5hurLQkQ930mzVZ6fmHHsgPVMXKkbMGXn2+1JdWzY4dslGRH5+7aQLtNfemp10muE9IN3qPOuQeyteCxY/KrHW1fnquvhtq1rcuaCXLTdYOfOByS9hptnY8rroD0dOtCM4HoM6wFw0JAdtdsiu4vYlTXUaQlpzHy7JEhe+2oc+6BVKr7+Wf5AkXbl6d+fYltWpGVEIJN1w1+sn17KseORV/no1YtmRt6//3Ir6gOVJ92zXGvzJCOQ9h9dDffbfsuZK8Zdc69dWvP7Z6SMqJtssqdkSNlSLlkSWTfNwSbrhv8ZMMGWcEbrfo8eBA++yyy7xuoPgsLpViY3ZO2BnUYRKJKZM4vc0L2mlHn3IcNq9qWkCAFtyqzerX0Muw6JPPF4MGyJD3SQ19vm3WbdPXQs369OPezz7bYkBrQr5+UIre7Ptetk73Z7ZYGWZmGqQ25pM0lfFT4UcheM6qc+6FDsvNUZqb8EislAnM4qu4YAzJZddZZ9v9gPZGWJj9kkcxK2LnT+7Wye88nGtmwoQ7t2smPeLSRlAQ33ABz5siEZSTYt8/75kTe9GnXNEhPDOk0hFU7V8VnnvvkybKA4q235Bfc4YBdu+Dii+HBB+HAgYrnu2p2RCsjR4qgW7XyPHnkmlhasSL4ic9du6Q3lpgoox13TLp6eNiwoU7UzQe5M3KkhES8TW6GcmL+wAEpXOZw+K9PVxpktIzch3YaCsDHaz8OyetFjXMvKJDdp267rWKJcKVkd/a9e+HRR8vb9++HLVuibzLVnb175XbXrqqTR+4TSxDcxOeePTBgAGzYIDHUqVPL5zbq1jXp6uHgxAnYvDktqjsfRUXy/duzx7c+g52YLy4Wx75qlUziTp1a3lNPS/Ouz23b5McnWnrunRp3okOjDsxZG6K4u9ba8r+srCztjUWLFmmHQ+tLLtG6cWOt9+zxfN4dd2idmKj1mjXyeOlSrUHrjz/2+tI1YtGiRaF9QR9kZsr/UPkvPV3revXKH48fv/LU/czM6l83N1fOU0rrVq20btNG69q1tV6woOJ5N92kdZMmWpeUBGZ3JK+RPwDLtc20vXKlfF4zZ4b8360xgX5u/urT/S8QfT711CLdurXWHTponZys9YcfVjzvzju1rlNH66NHvf0/8p7z5gX0b/kk3Nq+79P7dK2/1tKHTxz263xf2o6KnvuMGbL3w5NPSl1pT/ztb1CvHvzud+WV9iC6e+7eJomKi2X+wcW8eW2rfY6Lyj2qLVvkORMmQP/+Fc8dPlx6ZZ9/XjP7Dd6J5kwuF/7q05/nuHDX5/HjiWzeLKGVu++W9R/uDB8u8X5vGTt2rQbpiyGdhnCi7AT5G4JfIeaXc1dK3a+UWqOUWq2UmqmUqq2UaqeUWqaUWqeUekspleI8t5bz8Trn8bbBGHjwYBL/939w4YW+t+Ns0gT+8hdZNffBB/LlSU+XeHW04muDYvcKdxs3plf7HBeeUsnAc9bDoEEy7H3nHT+MjVKs0nZBASQlOejUKWT/SsTxV5/+PMeFuz6nTi3vmb3/ftVze/eWzp43fRYWygSst/RpO3Jp5qXUr1U/JCmR1Tp3pVRL4HfA+VrrLkAiMBJ4Enhaa90B2A+4tuweB+x3tj/tPC9gXJMxTzzRjt27YcgQmZjxxW9/K2lld9wBr7wiPYh27aJ3AY63DbQfe6zmm2sHsggsLU2u+3vvRVeJV3+xUtvPPQdNmhylUyejT3fcdbhhQwOP7S6SkuDaayVjx9NiqsJCSYNMTPT9nnYiJTGFK9pfwceFH+PQQRaX8havcf0BLYHNQCMgCfgIuALYAyQ5z7kQmOu8Pxe40Hk/yXme8vUeleOSublap6VJvEwphwZ5nJtbfQzqwQerxvn8fa4/RDqe7B4fz8ys+H+4jrVvv08nJWn9+uvVv563OKm3WOisWXI8kH87WmLuVmv73HN3hFyfwVCTz80ffYLMh82YUf3rueuzXbv91epz7lw5Xjker7XWXbpoPXRowP+STyKh7ekrp2smo5dvXV7tud60rf2JuWuttwJPAZuA7UAxsAI4oLUudZ62xflFcf/C4DxeDHiJlHvGfWhWr95JwP9Vkm+8UbUtmldYumpxORxVa3G5jl177U5KS+HMM6t/vZycqrnCvnpUV14pFTVjMTRjtbabN5cE8VjXp6uMRosW1b9eTk55quOFF24DfOuzb19o2LCqPh0O+PXX6Iq3uxjccTAKFXTWTLXLe5RSDYFhQDvgAPA2MCiod5XXHQ+MB8jIyGDx4sWnjt17r9xu3FifunVLaNLk2Kljbqd55N57Yf/+Wrz55pnccMPagJ7rD4cPH65gqx3IyjpOcnInnnhiG/fcs87nuS1bwllnncOmTWk8+OA31K4tbY0aeb8+559/NjNn1ue6676uNjQG9rxGnrBK27t3p/Lqq13p2nUP/fuXxxusvmTh+tzq10+gTp2LeOqp3SQm/uLz3JYt4bzzOrNqVUMGDdrIBRfsqlafvXqdwXvvNWX06C9JSZEtzHbvrsWxYxficKxl8eJtIftfIqXtzvU7M3PFTPrQp+Yv4q1Lr8uHrjcAU90ejwH+SxiHru5Ds6eeWhRQGlWgYYdAsVvIQWuxafhwrZs1qz5tcd06uR5/+Yv/rz9zpjxnyRL/7bETeA/LRJW2w004P7dbb5X0yCNHfJ+3fbvWSUla/+EP/tvz8cdyDT/6qLxt4UJpmz+/5jZ7IlLafmzJY5rJ6K0Ht/o8z5u2tZ+pkJuAC5RSaUopBfQHfgIWAcOd54wFPnTen+18jPP4QqcRflPTyZhgnxvNjB4ti50WLPB93pQpMsE0bpzv89y56ioZKsdgaCaqtB3NjB4t6ZFzqok0vPoqlJZKOqS/DBggmXHu+oyWapDeGHpG8KtV/Ym5LwPeAb4HCpzPmQI8APxeKbUOiTtOdT5lKtDY2f57YGKgRgWzqY/7c5WKnw2BrrxShq65ud7POXECXntN8oX9iX+6qFdP0iLffTfKdoeqhmjTdjTTu7ekJfvSZ1mZXIv+/QkoRTQlReowffABnJQpOgoLpUMSTWmQ7pzd9Gwy0zODKyTmrUsfyb/qVqjaCbvZo3W5TXfeKZkXhw55Ps8VXpk7N/D3yM2V5371lf/22AVsuEJVa/tdp3Db86c/Schl1y7Px13hlVmzArdn9mx57mefyeNrrtH6rLOCs9cTkfzMBs4YqNVkpZmMznw6U+euqppS5UvbUbFC1eAfo0dL5sUHH3g+/uKLkvc7YEDgrz1kiPSQ3n47KBMNcczo0RJymTXL8/GXXpL9ZD2V9a6OgQNlhOnSZzRVg/REXkEeS4qWoJGoX1FxEePnjCevwP9FEca5xxAXXSQLvzwNfX/+WcoIjB9f/WIwT6SnS/Gmd96RKUCDIVC6dpU/T/rcvBk++kjmgryV9fVF7dowdKisZD15MnrTIF1Myp/EibKKdcyPlhxlUr7/ObPGuccQSknsdv582cXJnSlTZEcaXyUcqmP4cPkSfhe6ncAMccbo0bLx+7pKGbuvvCKdhttvr/lr33CDlMjOzZUVq9Hs3L3VdA+k1rtx7jFGdrZMerrXijl2DKZNg+uvh2bNav7aV18tPxAmNGOoKTfdJJ0Q95ILpaXi3AcNkpFnTbniCqhTRwoMQnQ79zbpnovweGv3hHHuMcZZZ0FWVsWh76xZstnBnXcG99oNG0LnzvD00/IFDXYDBkP80bo19OkjunGF9z76SGqvB6vP1FQJ+6xdK4/HjIlefeb0zyEtuWLObFpyGjn9/c+ZNc49Bhk9WnZn+vlnefzii1Ka4LLLgnvdvDx5TVcRsWA2YDDEL6NHy4SnK7z34ouSJjl4cHCvm5cH339f/njr1ujVZ3bXbKYMnUJmeiYKRWZ6JlOGTiG7q/85s8a5xyAjR8qkaV4e/PijxDjvuEN628EwaVJ5HrGLaK6LYrCG66+XHPTcXFi/HubOlR3Wgt3rONb0md01m433bcTxiION920MyLGDce4xSfPmUvr4iSege3dx6qmpwb9uIOWCDQZvpKdDt27w/PPQvr20NWoU/OsafVbEOPcYJC8PfvmlPHyiNfz+98EPT31tzmAw+EteHqxcWXG188SJRp+hxjj3GCRcw9N4rYtiCC1Gn5HBOPcYJFzD03it22MILUafkSHIKQyDHWnTRjJZPLUHS3Z2/H5ZDKHB6DMymJ57DGKGpwY7Y/QZGYxzj0HM8NRgZ4w+I4MJy8QoZnhqsDNGn+FHaRuU+FNK7QY8ROEAaIJsZ2YX7GYP2M8mu9mTqbVuasUbG20Hhd3sAfvZ5FXbtnDuvlBKLddan2+1HS7sZg/Yzya72WNX7HadjD3VY0ebvGFi7gaDwRCDGOduMBgMMUg0OPcpVhtQCbvZA/azyW722BW7XSdjT/XY0SaP2D7mbjAYDIbAiYaeu8FgMBgCxDh3g8FgiEFs69yVUoOUUr8opdYppSZabQ+AUmqjUqpAKbVSKbXcIhteVUrtUkqtdmtrpJSar5QqdN42tNieyUqprc7rtFIpFeQeO7GF0bbH97eVrn3YFDXatqVzV0olAs8DVwKdgZuUUp2tteoUfbXW3S3MdZ0GDKrUNhHI11p3BPKdj620B+Bp53XqrrX+JIL22Bqjba9Mw1669mYTRIm2bencgZ7AOq31eq31SeBNYJjFNtkCrfUSYF+l5mHAdOf96cA1Fttj8I7RtgfspmsfNkUNdnXuLYHNbo+3ONusRgPzlFIrlFLjrTbGjQyt9Xbn/R1AhpXGOLlHKbXKObSN6HDa5hht+48ddQ1Rom27One7conW+jxkSH23Uuoyqw2qjJbcVqvzW/8LtAe6A9uBf1pqjcEfbK1tm+gaokjbdnXuW4HWbo9bOdssRWu91Xm7C3gfGWLbgZ1KqdMAnLe7rDRGa71Ta12mtXYAL2Of62QHjLb9x1a6hujStl2d+3dAR6VUO6VUCjASmG2lQUqpOkqpeq77wOXAat/PihizgbHO+2OBDy20xfVFdHEt9rlOdsBo239spWuILm3bsp671rpUKXUPMBdIBF7VWq+x2KwM4H2lFMh1e0Nr/VmkjVBKzQT6AE2UUluAR4AngFlKqXFIedkbLbanj1KqOzKM3gjcESl77I7RtmfspmsfNkWNtk35AYPBYIhB7BqWMRgMBkMQGOduMBgMMYhx7gaDwRCDGOduMBgMMYhx7gaDwRCDGOduMBgMMYhx7gaDwRCD/H9gryBAwoXcNgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0100, grad_step = 001212, tr_loss (epoch) = 1.776, te_loss (epoch) = 1.871\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0200, grad_step = 002412, tr_loss (epoch) = 0.621, te_loss (epoch) = 1.065\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0300, grad_step = 003612, tr_loss (epoch) = 0.513, te_loss (epoch) = 0.950\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0400, grad_step = 004812, tr_loss (epoch) = 0.399, te_loss (epoch) = 0.789\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0500, grad_step = 006012, tr_loss (epoch) = 0.452, te_loss (epoch) = 0.711\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0600, grad_step = 007212, tr_loss (epoch) = 0.438, te_loss (epoch) = 0.715\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0700, grad_step = 008412, tr_loss (epoch) = 0.299, te_loss (epoch) = 0.572\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0800, grad_step = 009612, tr_loss (epoch) = 0.269, te_loss (epoch) = 0.511\n"
     ]
    },
    {
     "data": {
      "image/png": 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xoqJbtyUh5/+CfawJTwKV6csvm1CrVhdiYzWpqVl07rznyLGEhNDvrZuWtOSt3m+Rl5fHrx1ep+0va1mUuchvcSUr0Vq/DrwOoJR6DLHGt7lHmi63y3bX6ZuB1h5vb+VqixgZGTLC2rBBFrROSoK//pKSHH/+KQsEuQnHxL20tIrrEodjlOc02iS3ISdX/Jh96vdhxtYZR9pDZUyvMdz4yY38tvU3jmtRbgZhXBxMmAD33iu1uEMNOPrS+r7+gMeAm4DVQAtXWwtgtev1K8AVHucfOc/Xnz/L/b77vq+y5a611i+9JNf46afQr6G1fawJT7zJNG2a3C+ltG7TRutzz5X/v317rRMTq9cay8zM1EvuulJr0F99OyN8Fw4RfFvuzVzbNsAqoAHwX+BeV/u9wH9cr88H5iGj1AHAT96uWf4vXJb7tGnyPZW3zm+6SeuSkrLfd0pKaN9neXl8jQjCMcoLRR6rmPbHNJ2UnqR5CP3U9Kc0D6GT0pP0tD9Cf2h2FezSCY8m6Nvn3e79hJ07tY6P17puXb9fqq++rbUOOFummWvbBvG3TwfmAGNcp4wBZrtezwGucmXNDABydRD+dihbQqBxYzFHqmqJXHmlXKMmBFY9g6Zai6X32WcymSsrC157rfrXQe0x8lYAfpnxdHgvHF5mKqWygLnABK31XuAJ4CylVDYw2LUP8CmwFlgDvIoYOBHDW6wEZJKRUtWz/KGp0ySUrxGTkpzClKFTSmvEhECj2o0Y2mko05dPp7C4sOIJn30mX2ZeXui1y31pfc8/4GsgC/gdGORqa4z4HbOBL4BGrnYFvAj8BSwjRL+k2xJ56qnMkC2R8lx9tfwQ7t8f+jXsYk14Ul4mz5FPVXywVZKnuFjn1UvUbxyn9MbcjZH5YB/gx7qp7r9wWe6RsKK9+dzLjxZq1Ypen3sgo59wyjR71WzNQ+iPV39c8WCAD7G/vh2Q5a61PlVr3U1r3UtrvdDVtktrPUhr3VFrPVhrvdvVrrXWE7TW7bXWPbXWSwL/qSnFowhb2CyRcePkhzDaa1XbouxxTAz6jDMYuFbz6pIpEfzg6MQKK7p80UKlZAH1aPS3Z2SIfqimFe+8cm6Hc6mXUI/hHw4n5uGY0jVWISwPsT0jXdXEiSfKlOqbboruJfjsMpyue+5QUnLh8wWTvQ89DQGTng6JiWXbIlHt1G1kaS3PzZIlsGtX9X6mFfgLHlcXH2R9wIGiAxQUFqDRZddYDcNDXKOU+/TpUgzp8OHoXoIvPV1WsPfEkrLHrgInPVbsYPbq2ZWcbPBHaqqsqeymumIl/rj+epnRPHVq5ec6DStGu2kL0ygqKSrTdmSN1TDULq9Ryj0tTQqJeRKNVWlTU+HBB0v3rVAEAHTujG7RgqGbknjp55ci/OHRR9Omst2xI3yuymDo2RNOPlnWk9BRNmPVitGu3zVWPX1iIWY+1CjlbgtfdITo0EG2S5ZYowgAUAo1cCCD1seQuS6TlTvCU8q0prJ8ueS3N2linQzXXy9lojMzrZOhOkhPr7jebHWPditdY7WKKVA1SrnbxRcdCVavlm2nTtbKwcCB1NmTR69dcUxe4mX1ckPALFsGPXpYK8Pll0v5AW8L0TuZ1FTo3Fkq7lZnirAn3tZYTYpPKl1jtYrUKOVek5bgW71agsf16lksiMvvfseBXrz1+1vkH863WCBnUlwscxR69rRWjtq1pRTw//4ni4JEE/v2wYgR4Z0r4I/y+fPxMfG8csErVcqf96RGKffyqV0Ajz0Wnaldq1eLJWI5bdtCu3acsDqPfYf2UffxumVTvgwBsXatZHNYbbmDJCEUFUXXGqsFBbBpU6k7M1K411idfP5kCksK6d40xFIDXqhRyh1K3Vjr1sl+bq6l4lQLWotyD3WB5HCzpncbjlqymhjXusBlUr4MAbHcVV7JDsq9c2dZmnHKlCpXpbUNf/0l244drfn8Yd2HER8Tz7Q/poXtmjVOubtp2xYGDYI335RhWDSxY4cs5GILyx14rs4KGh6E3ltL246kfBkCwq3cQ60hFW5uuEGMpM8/t1qS8JCdLVurlHuj2o0Y0nEI05dPp7gkPL+YNVa5A4wdKx002iL/7mCqXZT7h813AjBwXdl2X6lghoosWwbHHCPrE9iBiy+GZs3glVesliQ8rFkj20i7ZTwZdewotuZtZdG6RWG5Xo1W7pdcIot3RNsiwHZT7gmtUshqUlG523iVJtuxfLn1wVRPEhLEOJo7V3zVTic7W+YRJCdbJ8MFnS6gfq36TFsWHtdMjVbuiYnig581C/bsqfx8p7B6taR02SXFM31QOl92iOPUHIh3TchLjEsMW8pXtHPokNRrt4O/3ZNx4yS+06OH88t5ZGdb55JxkxiXyLBuw5i1clZYsspqtHIHsT4OHQp9jVY7snq1dNTykzKsIrVnKt1GTKBuIfRzLRt5dvuzw5byFe2sWiWBSztZ7gDffSc54bm5zi/nYQflDuKayTucx5zVc6p8rRqv3I87Dnr3jq60LtukQXpw+lUPgFJ82/YRBrYbyKqdq9zlpA2VsGyZbO1muaelVUxGcGI5j/x8+Ptveyj301JOo1X9VmFxzdR45Q5ivf/yC/z2m9WSVJ3CQsmJtptyZ948iI+HBx7g8ozf+HPXn6zYscJqqRzB8uVy6yyfbVyOaCnnYXUapCcxKobUnqnMXzOf7fnbK3+Dv2uFSSZHc+WV4qOOBut97VqZYGIr5e5eGurwYQAu+XY3SsPM9x6s5I0GEMu9SxdR8HYiWsp5uNMgrcyU8WTUsaMo1sW8v+L9Kl3HKHekVsYll8C0aWUXGXYidsuUASqsEXdUPpyyAT78a66FQjmH5cvt55KB6CnnYXWOe3l6NOtBr+a9qjyhySh3F9deKxkzsx1edtyWyt3LOP2yLFjesJA/d/1pgUDOYd8+uX12C6ZCaTkPt6Veu7ZFpaWrSHY2NG9ugzpMHow6dhQ/bv6R7F3ZIV/DKHcXgwZJJ3V6zvvq1TK5pEEDqyXxwMs4fbjL3T4za2aEhXEWdio74I3UVMmSue02Ca5ecIHVEgXPmjX2sdrdXNHjChSqSiU6jHJ3ERMj67UuWCDpXU7N2bVjpoy38XuLg3H0r9WeD1d+aJFQzsCt3O1ouXsycqSkFDtx5JudbR9/u5uW9VvStWlX0r9ORz2sQiq2Z5S7i4wMSehw49Sc3VWr7FMw7AjlV5VJSoKEBEb0u4ZftvzCuj3rKr9GDWXZMqhb1/5Byv795et9912rJQmOvDzYssV+lnvGsgzW7F5zZBm+UIrtGeXuIi2tYjDVaTm7u3fDzp02tNyh7Koy8+ZBQQGjVsgsq5krjWvGF+5gaozNn1SlxHpfsED6oFNw15Sxm3JPW5jG4eLDZdqCLbZn8y4TOeyas5uRIS6iQKZ32zKY6o1TT4UePWj61vsc17y3Ue4+0Noeqy8FysiRkoY7a5bVkgSOXZW73/VVA8Qodxd2zNl1p4fn5AQ2vdsxyl0pmDABfv2V23R/ftj0A5v2RUH1qTCzbRvs2mV/f7ubXr2k7znJNeNOg2zf3lo5ylPp+qoBYJS7Czvm7JZLDwf8u4pWr5aJLu3aVb9sVWbUKKhfn0sWSbGZWSsdZO5VEfdobOlS/6Mxu5Yd8IXbNbN4sfixnUB2tiw6bqc0SAjP+qpGubvwtgTfQw9Zm7MbrKto9WqxQOLiqk+msFG3LowZQ/058zk1sbN/10wwvimb4zkaA/+jMbunQXpjxAgZZX7wgdWSBIZdCoaVx3N9VYUiJTmFKUOnBFVszyh3D9wxP7fytHoJsaOP9t7uy1VkyzRIf9x0Exw+zANrWvJ1ztdszdta8ZxgfVM2x3M0tmWLrLzhazS2fLnMWWjWLIICVpGuXeHYY61zzQRrB9hVuUPp+qolD5aw/vb1QVdRNcrdC61bQ79+1gaGtPb+UPtyFRUXS3DIUcq9SxcYNIjT5q1ElWg+WvVRxXOC9U3ZHM9R1+zZHby2u3FSMNWTkSPh++/FUIokwdoB+/dLXMOuyr2qGOXug0svhZ9/ho0brfn8d9+FX3+V0UTz5tLWpInv6d3r10tdLkcpd4AJE0jYvIXRGxpwx/w7iHk4puyEDbf/ojxWpzGFiOeoa82ahl7bQTJGV6xwTjDVkxEjZPt+1epeBU2wdoAdltarToxy98Gll8r2o48i/9k7dsCtt8rEkKlTYfNmaNFCMgh9xQAckylTnqFDyW/eiNSvczlYdBCNPjJh47OMh30neNt9Vo8PPAP3LVrkAVKTpfxobN06UUxOtNyPOQZOOAHeey+ynxtsjMpuBcPCjVHuPujUSVaat8I1c9ttsrrN66/LakqxsTBsGHz6qRSS8oZjlXtcHC8fX8xZf2k6ekx+Of/XAs64+mEOJtehoFyA+FAMfHPDkMjKGSY8A/cXXyzaZciQij/aTik74IuRI2WNhD8jWBfOV2zClx1gt1K/4cYodz9ceil89ZVY0pFi7lyYMQP+9S/5cXEzYoTU7pjjY/Wt1auldHGTJpGRM5w81T2XIgXPzId6ByHtS3j/Q1jSQtN2XD6dboGbz4Pfm8LBWDgYD9fzsdVih4w7cD98eC7Dh8Mnn1T0PrnTILt1i7h4YWH4cEmN9GW9hzsB6ptvYO9e+UxP/KUzr1kjSQt16lTts+2KUe5+uOQS8X36UqjhZu9euOEGsdbuuafssQEDoFUr3w+L4zJlPBi+pTEAF2RD7hPw70zISYb7L0hkW1IJm5Phxf7QewKcdg0kH4KR8ywKhoSZ//5XFNI//lG2fflyma9gt/zrQGnZUvrjo49WLMQX7gSo776D886T0dBzz5WmM8fH+y9BbMeCYeHEKHc/9O4tnTJSrpm774atW2VFqISEssdiYsQamj9ffgTK42Tl/tgiiHMtp+o2vFJy4dOP6pCSnFLm3J9bwbvd4f++VxKMcDht2sB990leeGZmabtTM2XcZGTI8nWFhbKfkwPjxsGLL0o/D1cC1I8/wrnnSkwqMxNuvllGRc88I5/dv7/v99o5DTIcBKTclVJ3KKVWKKWWK6VmKKUSlVLtlFI/KqXWKKXeU0oluM6t5dpf4zretlr/g2pEKXHNfPGFb193VXEPT5WCV18V/2vfvt7PHTFCOmz5IG9+fixbttiwGmSA1N2622e7t5l6D59TiwRi4YEHIiFetfN//yd94LbbpDbLoUPiq3ayck9LK1Xsbg4cEOX799/e3xNoApTnM3PiiRKQzswsOy/ksstk+6GPitL79sH27TVcuSulWgK3An211j2AWGAk8CQwUWvdAdgDjHW9ZSywx9U+0XWeY7n0Ukkx/PTT8F+7/GxFgIULfQ9P+/WTTl3eNbNpkyg/p1ru/gr7eM7Uc3P5Bf8g9pZb4c034Y8/IiRk9VG7Njz9tFjrr7wiir2oyLnBVPCvqH3FhQJJgCr/zGgtinrx4orX6t/ft3KP9kwZCNwtEwfUVkrFAUnAFmAg4L51U4GLXa8vcu3jOj5IqfJhDudw4olSe6I6XDPe8nIPHPA9PFVKXDNffCEFpdxs2OBw5V5JYR/3TL38+/NpVLsRWTuy5CYlJ8sYvwrYZVR6ySWyGtg998Dpp0vbXXc5diKuT0WdkgLPPht6HSdvz8zBg96fmcsvl/o967wsFxDtOe4QgHLXWm8GngI2IEo9F1gK7NVaF7lO2wS0dL1uCWx0vbfIdX7j8IodOWJi4OKLxXI/cCC81w6lzPCIEWLV/e9/pW0bN9YmNtZ+le0CpvxiHikpXiNhSfFJjD9+PB+t+oj1MfskpWj+fCkiHgJ2GpUqBWedBfn5spYvSPEtp1Za8Pd77a2O0zPPBFbHKZhnxu2amemlbFG0p0GCWOR+UUo1RKzxdsBe4APg3Kp+sFJqPDAeoHnz5iwuP65ykZeX5/NYpDjmmIbk5/fimWeW0auXd3l275b43uHDEgxt2VJSE/0xaRIsXdqEqVN7cM01y+jeXczxhISKw0w3WkPLlicwefJBOnQQl8TatZ046qgCvvvupyr8l+EjpO+sZUt4662ybV6ucXzx8aDhnpn3cFOPsZzQrBnFV1/Nkttvh8TEwG58Wdyj0kLKjkqvdB2fCjwEvIw8Bw+52j8EXlBKKa21DuYDffHyyxXb3IFGpy067ZY3LU0Ub5s2pYrdfTw1VXLh+/SpmMLoi9atvStybyOFdu0kfvXBBxLX8CQ7W7pK+R+gaCKQ+oGDgXVa6x0ASqlZwMlAA6VUnMs6bwW4Uxc2A62BTS43TjKwq/xFtdZTgCkAffv21WeccYbXD1+8eDG+jkWKk06Cxx6D7OyenHzyrgryuP2AnsPFpKTKV4LfvBneeUdev/lmzzLv8/cvX301PP54Et26nUGzZrBlSx69eydZfp/cVPd3NnP/TD5b8xmvJ5xN7b174fBhznC7ZwK58S601puVUu5R6QHgc4IYlSql3KPSMmsPhWq43HILHDgQx5NPnkCXLrsYOXL1kWORsG/CbUgF8nutNaSk9OPFFwvp1Om3SuW5/vr6pKUdz7Bhq+nfX+oKx8TIKMCb6Mcf35opU9rz7rvfc9RRh460L116HE2blrB48e9B/U92MDYDRmvt9w/oD6xArBqFWDK3IBb8SNc5k4GbXK8nAJNdr0cC71f2GX369NG+yMzM9HkskowerXXDhlovWLC4wrGUFK2lm5b9S0nxf82//tJaKa2Tk2WbkqL1tGmVy/L773L9l17SurhY61q1ivSdd4bwT1UT1f2dfbfhO81D6BfPaRTQjQeWaO99uyGwCGgKxAMfAaOANR7ntAaWu14vB1p5HPsLaOLt2jqEvh1qPwoXVj1r6enyf65bV7bdmzxXXaV1YqLWrVsH9sxkZ8u1n3mmbHvTplqPGxe8rHbRR2589W2tdUA+9x+RIegvwDLETz8FuAe4Uym1BrFeXne95XWgsav9TuDeoH5tbErjxuIL/fDD5DITMtauDb221auvynB0+XKZLLV+fWDD7549Je3xvfeksNmhQ7HODaaGwIBWA+h3dD+e67ibEm/D+cCLih0ZlWqtC4Eyo1LXOd5GpfgblYaKHReMiQRXuhxg06f7P2/3bunz114rX3Egz0yHDjJfxTNrJjdXZp1Hs78dAsyW0Vo/qLXuorXuobUerbU+pLVeq7U+QWvdQWs9TGt9yHXuQdd+B9fxtdX7L1Q/GRmSogawbFlTcnJg7FjpNP46iL/UrsOHZbLSBRfIzNNgUEoCq199VToUrUnKXSnFbf1vY3UT+NxbEDnwomIbgAFKqSRXRtcgIAvIBC53nTMGmO16Pce1j+v4Ipf1FBYCjCtHHW3bSlG8d96RsYovpk6VOQDXXx/c9YcNk1msm1wrOdaENEgwM1QDIi2tNFPm11+lOtGhQ2JxP/CATHkO1uKaPVsmUdxwQ2gyDR8uD8ITT8h+TVLuAMO6D6NFbAOePalcFw7C1LXjqNRddyaYkVw0MGoUrFolZa69obUYWCedJIuBBMPlrp9pdzqzUe6GI3iO8g8ciD/yurhYluK75ZaKqV133OH/wXzlFTn/7LNDk6lbN7H4V62CxMQi+vd3ZspcqCTEJnDjqXcy/5gSVh17dMimbk0fldqFYcMkS2zaNO/Hv/xSSmwEa7WDVHjt2bPUNWPXRbHDjVHuAeA5yv/3v78+8tpTmbstrvx8yRJYsMD3EDM7W2aijhsn5XxDISNDVpEBaNq0gA0bnJsTHSrX972eWrG1eO6xi2qeqRtlNGwI558vFVGLiioenzxZzhk2LLTrDxsmlSO3bJEJTK1ayczgaMYo9wDwDHQlJsrCqr5G/0lJUgnvp598T32eMkUWsb722tBl8qzd0bSp5GA6ePW5kGhWpxn9W/Vn8pLJqIdV2RWcDI5j1CgpnLdoUdn27dvFpXL11aEr5MsvF2Nr1qzoLxjmxij3ACg/o66y0f9VV0nRp/vuk8CpJ4cOSe7vhRdKJbtQ8XQVufN9y7dHOxnLMvhp809oZIjkXsHJKHhnMmQINGhQ0TXz5ptiyIwfH/q1u3YVV+aHHxrlbiiH2+3Sp0/lo//YWPjPf6TkqTvLxs2sWbBzZ+iBVDeerqL27XO9tkc7aQvTOFh0sExbQWEBaQtr0PAlikhMFPfJrFni3gTxtr3yikzqq2rV086dJbts1y5Z3zXaXZhGuVcT554LAwfCI49IXq2bV16RNSYHDara9WtqTrQnG3K9D1N8tRvsz6hRothnu5JPFyyQwl9VNYYyMmDevNL9vXujP0ZllHs1oZRY7zt3yhZg5UqJ+o8f73vd50AJ1lUUjbRJ9j5M8dVusD+nnCKjT7drZvJkaNpUqmZWhbQ0qR7pSbTHqIxyr0b69JHZdxMnSh2ZKVNk6a9rrgnP9YNxFUUj3hbySIpPIn1QDRq+RBkxMdKPP/8csrPrMneuJB6UX5ksWEKpwOp0jHKvZv79bwkGdeokdazj40OuUGsoh+dCHgpFSnIKU4ZOIbVnDfuVizIaNJA5JPfd153iYmjevOrX9LMeTNQSSFVIQxX47jvZuitGFhSURv1rmqVdHaT2TDXKPIrIyICHH5bXu3ZJ3uM//wnNmlXteUlP9165NZpjVMZyr2bS0ipOyoh2X5/BECreVloKx/NSE+v2GOVezdREX5/BECqez0VqapbX9lCpaXV7jHKvZmqir89gCBXP5+K447Z7bTcEhlHu1YzJRzcYAsc8L+HDKPdqpib6+gyGUDHzN8KHCuNaA6ELodQOwMd6RjSh3BqVFmM3ecB+MtlNnhStdVMrPtj07SphN3nAfjL57Nu2UO7+UEot0Vr3tVoON3aTB+wnk93ksSt2u09Gnsqxo0y+MG4Zg8FgiEKMcjcYDIYoxAnKfYrVApTDbvKA/WSymzx2xW73ychTOXaUySu297kbDAaDIXicYLkbDAaDIUiMcjcYDIYoxLbKXSl1rlJqtVJqjVLqXqvlAVBKrVdKLVNK/aaUWmKRDG8opbYrpZZ7tDVSSi1QSmW7tg0tluchpdRm1336TSk1JFLyOAHTt71+vq36tR+ZHNO3banclVKxwIvAeUA34AqlVDdrpTrCmVrr3hbmur4FnFuu7V5goda6I7DQtW+lPAATXfept9b60wjKY2tM3/bJW9irX/uSCRzSt22p3IETgDVa67Va68PAu8BFFstkC7TWXwG7yzVfBEx1vZ4KXGyxPAbfmL7tBbv1az8yOQa7KveWwEaP/U2uNqvRwOdKqaVKqfFWC+NBc631FtfrrUAY1q6pMjcrpf5wDW0jOpy2OaZvB44d+zU4pG/bVbnblVO01scjQ+oJSqnTrBaoPFpyW63Ob30ZaA/0BrYAT1sqjSEQbN23bdKvwUF9267KfTPQ2mO/lavNUrTWm13b7cD/kCG2HdimlGoB4Npur+T8akVrvU1rXay1LgFexT73yQ6Yvh04turX4Ky+bVfl/jPQUSnVTimVAIwE5lgpkFKqjlKqnvs1cDaw3P+7IsYcYIzr9RhgtoWyuB9EN5dgn/tkB0zfDhxb9WtwVt+25QLZWusipdTNwHwgFnhDa73CYrGaA/9TSoHct+la688iLYRSagZwBtBEKbUJeBB4AnhfKTUWKS873GJ5zlBK9UaG0euB6yMlj90xfds7duvXfmRyTN825QcMBoMhCrGrW8ZgMBgMVcAod4PBYIhCjHI3GAyGKMQWAdUmTZrotm3bej2Wn59PnTp1IiuQH+wmD9hPJrvJs3Tp0p1WraFq+nbo2E0esJ9Mfvu21tryvz59+mhfZGZm+jxmBXaSZ9o0rVNStH7qqUydkiL7dsBO90hrrYEl2vTtSjHy+MH1sGU+9ZS208Pmr2/bwnI3BE9GBowfDwUFsp+TI/sAqanWyWUwRB0OfdiMz92hpKWV9rWDB2MB2U9Ls1AogyEa8XjY6mxxlbpxwMNmlLtD2bCh9PWHH3b22m4wGMKAx0PVZtEir+12xCh3h9KmTenr339v6rXdYDCEAY+Hqsny5V7b7YhR7g4lPR3iXBGTuLgSAJKSpN1gMISR9HR5uIDYwkJpc8DDZpS7Q0lNhdatoVYtOPHEvwH4979tHd8xGJxJairf/GsMmxrEUNCkCQfj4Jt/jbH9w2aUu0PZuRPWr4f774dbbtlIQgKsXm21VAZD9JGxLINzSqbS+vYSfjn9OBKK4Nrdb5KxLMNq0fxilLtDWbgQtIazz4YmTQ4zdiy8+SZs2mS1ZAZDdJG2MI2CQsmWmdwtjxjg0l8OkrbQZMsYqoEFCyA5Gfq6ljK++24oKYGnnrJWLoMh2tiQW5oVkxH7PV+3gat+hw17cyyUqnKMcncgWotyHziwNKjati2MGgVTpsB2y9erMRiihzbJpVkx7Wq34+1e0G0nDNl/lIVSVY5R7g7kzz8lxfbss8u233cfHDwIEydaI5fBOjIy5Ac+Jka2GfZ2BzuK9EHpJMVLtsyYFmP4oBscjIX0TZ0reae1GOXuQBYskO1ZZ5Vt79QJRoyAF16A3bsjL5fBGtyz43NyZFTnnh1vFHx4SO2ZypShU0hJTqFuXF2Smrbg4y4xtJ73LQcP7LdaPJ8Y5e5AFiyAdu2gffuKx+6/H/Ly4PnnIy+XwRo8S1G4ccDseEeR2jOV9bevp0+LPvx9198cfePdNNpfxOT0S9A2Xc3OKHeHUVgImZkVrXY3PXvCxRfDpEmwb19ERTNYhK9Z8DafHe9oThr/CPnJSRz9v4U8+8OzVovjFaPcHcaPP8L+/RX97Z6kpcGePfDyy5GTy2AdvmbB23x2vLOJjydp9LVcnB3DI7PvpPl/mxPzcAxtn21rm/x3o9wdxoIFEjQbOND3OX37igV///2glAmwRTvp6ZCYWLZNKXjkEWvkqSmoMWNIKCxhWBZsL9iORpOTm8P4ueNtoeCNcncYCxaI8m7Y0Pc5GRmSUVMiJWdMgC3KSU2FIUNK95s2lcDq4cPWyVQj6NOHNc3iGPV72eaCwgJbTHAyyt1B7N0rbhlf/nY3aWlw6FDZNhNgi27Wr4eTThKlvm2bvH7gAcjPt1qyKEYp3uhZxGkboO2esoc8Jz5ZhVHuDiIzU6xxf/52MAG2msbGjfDLL3DRRbKvFPznP7Bli5nzUN0sPrklAKP+KNvuOfHJKoxydxALFkCdOjBggP/zTICtZjF3rmwvvLC07eST4ZJLRMmbGcvVx4TLn2RlU8UDX8LET6VtyNpY0gdZXw7YKHcHsWABnHEGJCT4P8+j/PQRate2fflpQ4jMmQMdO0LnchMmH39c3HGPPmqNXDWB1D+g054Y4ktg/C/Q8AAkFJaQ+kfl761ujHJ3COvWwZo1lbtkQAJsU6ZASkpp2+jRti8/bQiBfftg0SKx2pUqe6xzZxg3DiZPhuxsa+SLetLSiC0qBiCpCCb8BLM7aVY/ebfFghnl7hh8lRzwRWqqBNlKSmQmq3m4o5PPP5eJbZ4uGU8efFAWdLn//sjKVWMoF8i67QeoVQRPtfvbIoFKMcrdISxYAC1bQpcuwb1PKbjqKgnG5ti7QqkhBGbPhkaNJDvGG0cdBf/4B3z4IbRoYQqLhZ1ygawmB+Ca3+DtXrBl/xZrZHJhlLsDKC6WxTnOOqvi0DsQrrpKtu+8E165DNZSVASffAIXXFBa+tkbrVrJdutWU1gs7HgJcN37UwJFsYrnfnzOIqGEgJS7Uuo2pdRypdQKpdTtrrZGSqkFSqls17ahq10ppZ5TSq1RSv2hlDq+GuWvESxdKuUEAvG3e6NtWzj9dHj7bXm4DdHBt99Kv/DlknHjLaBq5j2EifIBrpgY2jQ+hsu6XsbLS15m3yHrCjxVqtyVUj2AccAJQC/gAqVUB+BeYKHWuiOw0LUPcB7Q0fU3HjAVTqpARgacc468vvvu0K2tMWPE7/799+GTzWAtc+ZI5pSZ92Ax7gCX1lJve9UqHtvXj9xDuUxZOsUysQKx3LsCP2qtC7TWRcCXwKXARcBU1zlTgYtdry8C3tbCD0ADpVSL8IpdM3DX6d67V/Y3bQp9OH355TJ6nDq18nMN9kdr8bcPHAj16vk/18x7iCDjxkGPHnR4bDLntDqDiT9M5HCxNXUg/HjqjrAcSFdKNQYOAEOAJUBzrbU7YrAVaO563RLY6PH+Ta62MtEFpdR4xLKnefPmLF68uMyH7t4NmzdDs2Z5PP/8Ylq2lMCR1eTl5VWQtbrYvRvS0mJ54IGTOfXUTVxwwdoj7Z4iBCrTySd3ISOjCZde+h21apVUj9BByGMInVWr4K+/4K67Kj83PV2MAs+a70lJZt5DtRAXB888A2efzaTVA+lSZzHTl03n6t5XR14WrXWlf8BYYCnwFeJmeRbYW+6cPa7tx8ApHu0Lgb7+rt+nTx/tybRpWiclaQ1aP/VUpgbZnzZNW05mZmbEPkvss4p/SoUm04IF8v4ZM8IvayjyRApgiQ6gn1fHX/m+7UlV7tPjj8t3uXFjYOdPm6Z1Skpp/5kyJbzyVAd2k0frIGQaOlSX1Kunj3+kpY5/JF7zEDplYoqe9kd4lZi/vh1QQFVr/brWuo/W+jRgD/AnsM3tbnFt3ZOcNwOtPd7eytUWMJ4ry3z77dFAzQsA5eVVLOPqJtTh9JlnSuaEcc04nzlzoE+f0kyYynC7hX/+WUyEgwerVTzDU0+hDxRw05wtFJYUAkS8HHCg2TLNXNs2iL99OjAHGOM6ZQww2/V6DnCVK2tmAJCrS903AeEZ6FmwoK3X9mhm924YPFhKtpYvNVCV4XRsrMxU/fxz+Nv6ORaGENm2DX74ofIsGW/07QsnnAAvvmgyp6qVTp144+QkrllSwrFbS5sjWQ440Dz3mUqpLGAuMEFrvRd4AjhLKZUNDHbtA3wKrAXWAK8CNwUrlKdlmpeX4LU9Wtm6VerH/PqrTDx54w3JslJKtlOmVK2MwJgxMmvV5Dg7l08+EcUcinIHmDABVq+WuROGUjIyJG04XBO97h6wn/wE+N+7gIZZM+CKPyJXDjhQt8ypWutuWuteWuuFrrZdWutBWuuOWuvBWuvdrnattZ6gtW6vte6ptV4SrFCe8wIaNToARG8AyLNDtWoFvXtLoOyTT6Sqn2cZgfXrq14fpnNn6N9fXDM13XJz6vyNOXOgdWvo1Su09w8fDk2aiPVuENyZaTk54ZvoNWpTYxKK4Ji9cMUyeK8nvDoXbs6OTGaILWeoes4LGDBA/AcPPhh9ha/Kd6jNm2XI/Y9/iFumuujaFVasqNlT0Z04fyMjQ0avs2dLeuz06aFdJzERrrtOfiRqiquzMjzjfG6qGud7bBG4k9KemwezO8OuJGmPBLZU7lBqsV533Vbi40XxRRveOhTAW29V32dmZMB775Xu1+Cp6I6av+E2BDa6koz376/a93bDDbJ95ZXwyOdkDh/2XXepKj9+dbfuPvK6yQEY/Tu82K9se3USSJ67pTRsWMjll4sb4bHHZLGKaMGKmYNpaXDgQNk2t4USbSOjSqiW+RtQ+RwON8HMB9i9G269NZE33ujJ/v0JPPjgd8TF6QpzHoJhwIAevPRSfU4//XsSErTt5idEQp5Nm2rz7393BeozYMDfXHjhGhISSueAJCSENqcEgEmT5JdDa46fNIkHv9tO9wkxnDH0UWpH4j77ypGM5F9lucBffSX5ua+9FkjmZ/USztxbd95x+b+UlOqTSanAcuergt3yk/GRC0w1z9/QYcxzD3TOQzDMny/XeOed4OWJBOGWx53rr5TWbdpoPX681nXqaN2woda33VY6t8b9521uTVAyeU7Ycf1dcSn6xRfHhO1/8tW3daB57lZzyinQvbssOhBNeFsxqboDx2Yqeik6wvM3QuXVV30fq8r3NngwdOpUMwKr5eNbGzZIXK91a/j9d3j22dI4X7gy08oXFdPx8Tz6bTyTCr+lRFffDHE3jlDuSsGNN8KSJfIXLaSmwsseYbmwdKhKMEvwlRLp+RvBUlQEt98uSqlnT/mePKmqIRATAzfdJDnzS5dWSVTb4yu+VVAgCh7Cn5lW5qJao956i/bbCun2/RrmZc8Lw8X94wjlDjBqlHTml6OsxqR7kYU33ghjh/KDtyX4rryyxvnb3UR0/kYguFNjlZKCYJMmwW23wS+/iAUfVssSmfdQq5aUhF66NHqzp3zFsTZu9N5eLQwfjm7fnoe+jWfi989U+8c5RrknJ0tHnjFDalhHC+7l7zp2jNxneloonTvDn39G7rPthI7w/I3K8HQdgJQISEiAfv2kHlV1WJaffCKLweTnQ35+XNRmT9nCHRkXh7r3XnptKiT2i0Us27asWj/OMcodxDVz4IAsOhEtuBVrJJW7G6WkHMHXX4uyMFiLN9fB4cPVW1MpLU3cPwA//yyZndFYx8mK+JZXrrqK4pZH86+vY3j2h2er9aMcpdyPO05mV06eHD2zK7OzZfjdrJk1n++2/qZNs+bzDaVYkRrree3vvz86Ip9pBamp8JzHqneRiG95JSGB2Lvv4ZScEtbPfYft+dsrf0+IOEq5g0y+WLUKvvzSaknCQ3a2ZCyEsjZqOGjbFk49VZR7tPxgOhUrXAee1961q7bX9mihd2/ZfvhhZOJbPrnuOoqaNOIfiwuZvKT6UgAdp9xHjICGDaMnsJqdbY1LxpPRo6WQVDRlIjmR9PTwVgEN9DPd7oo6dQ5H5DOtYuVK2Xbtaq0cJCUR9393c+5f8O2sSRwqOlQtH+M45V67trhm3n9frF0nR/fd056tVu7DhknGxDvvWCtHTSc1FYYMKd2PhOvAM3uqf3/J7Hz88ejMnsrKksB0hw5WSwLceCOF9ety/ee7aflMS2IejqHts23DWuvdcco9I6PsdGAnR/fXrpXMB6uVe4MGMHQovPsuFBZaK0tNJzZW3HRaR8514M7CGTduC0rBzp3V/5lWsHKlKPbyoyNLqF+flVcM5tJVcPIvuyh8SLP4oRy+ePSasCl4xyn3tLSKq8g4NbpvRRqkL0aPhh07YP58qyWp2WRlQbdu1nz2UUcd5Lzz4LXXovNH3sp7643pu77kcAwMz4Kv20LbXHjho0J+fPK2sFzfccrdioyC6sLKNMjynHsuNG5sXDNWcviw/OBbqYBuuAG2bJFywNHEoUOyToLl/nYPbliwB6Vh5HKY117a6hTCnR/vCsv1HafcbTEZIUxkZ0OjRqJUrSYhAUaOlFrhublWS1MzWbNGcs6tVO5DhsizFC0JC26ys2Wylp0s9za5EK9BA632wcG40vZw4DjlHk21UeyQKePJ6NFi4Xz4odWS1EyysmRrpQKKjZUY1sKF0TVz2Z0pYyflXtBCrLrdteGylaXWu7u9qjhOuXurjTJhgjOj+3ZT7iecIPKYCU3WkJUlGWCdO1srx9ixklUSTQt52OXeelL3v5MoSkyg8QE4Og9WNIOixATq/ndSWK7vOOUOpdH9gwcl02Pr1sreYT8OHJCiRXZS7kpJgbbFi50Zw3A6WVnQrl3FkWmkOeoouPRSePPNigu7OBX3vS1fWdNSUlOJe+0NYlu3oSAO2u2Fg1NeCpul6kjl7qZWLbjsMvjoI+/lPO3MX3/J1k7KHUS5gyy+XJPXWLUCO2Vz3HijFOh7/32rJQkPK1faK5h6hNRUyMkh9/ILuGgVfBxGfeBo5Q5wxRWQlyfV7ZyEndIgPfn+e1Hqe/eGbxV4Q+UUFcksYbso99NPhy5doiOward7643m199J3ULYNC18K6c4XrmfcYYMI2fMsFqS4LBTGqQnaWkyscoTp84jcBJr10oqpF0UkFKSFvnjj/Drr1ZLUzXWrZN7a0vL3UXMaaezp1k9esz/jd0HwrOAtuOVe2wsDB8On37qrBS+7GypBJmcbLUkZYmmeQROwg6ZMuUZM0Z81E5f3tKO97YCMTEcGnE5Z/2l+fTrN8NzybBcxWKuuEJS+D76yGpJAsdumTJu7DiPIGNZBm2fbVst9TfsgjtVr0sXa+XwpEEDyaB69VVn13GyTcGwSmh+/V3EasidGp40pahQ7v37SyTcSa4Zuyp32yxq4CJjWQbj544nJzcHjSYnN4fxc8dHnYLPypK1POvVs1qSUjIyZH1Vdylop8ZfsrKgZUuoX99qSfyjunfn744t6J+ZzZb9VV+eNyqUu1Iyu/KLL6Q+it3Jy5Mp3nZU7u55BEe71m1o2DCIyoTuBUDDuBhn2sI0CgrLpkIVFBaQtjC6ggB2ypRxk5YmI2JPnBh/WbnSfvfWFzFXjaHvFljwyXOVn1zZtcIgjy244gqZXvzBB9Z8vluvBZI+uGaNbO2o3EEU+ebN4iI4/vggFLtrAdDYgwfDZuZtyPXu7PfV7kRKSuypgKIh/uK+t3Z3ybg5atztFMVAyTtVX0s0apR7jx7ycFjhmvFc2DiQ9EF3GmSnTpGTMRSGDpUVrwIKVHssANr/8celLQxmXptk785+X+1OJCdHJgvZTbnbMf4CwRlSmzbJ4t92u7c+ad6cDf06cea3f7Nu119VulTUKHelxHr/5pvIWxbeFjb2p9fcaZC2WDTAD0OHSo5wQGWAPW56Qn6+1/ZQuO7461AaLsmChCIYuxSuXhFP+iAHFhPygV2zOexYxylYQ8p9b51iuQPUGzuBlFz4dvqTVbpO1Ch3EL87RH5WXbDD1+xs8WnXqVN9MoWDE0+UipVz5wZwcjWYecUlxcz57k2a5cMbc2DwWlh0DEyZC6l/hHxZ22FXBeStjtM991hbxylYQ8quP5z+aHrlWApqxVD7vZlVuk5UKfcOHaBfv8i7Zho29N7uS6/ZNVOmPHFxUgL200/FgveLh5lX0KSJtFUxzWbK0in8fGgtz8yHBgfhml9hXUNY0aDQeVE9P2RlQYsWvvuRlbjrOO3dK2WhrZ5LkpPjvd2XIbVyJTRpIn+OoU4dcgb1ZdCS3azcGPoMsqhS7iCumV9+iVy50ilTYPdu8f954k+vOUW5g7hmdu+WsgR+8TDz9nTsKH6yl0IvgrQtbxv3LbyPkcvgimXSdulK6P03zOqKs6J6lWDHTJnyJCfDeefJqLj8DOZI4mvtA1+GlBPurTeOuv4uGhyC318L3TiKOuU+YoTolRNO8B5wCSYYUxlTpsD118P558Prr0suLcjkD1/pg7m5kq7pFOV+zjkQHx+ga8Zl5u095xxxiAbzT5b7Yh6YOJQHPt5PxixQrlNigPnT4JvWWB/VCxNaO0cBjRghWVTffmvN569fL8HRQA0pre2ZhRQIDc+/jB31Ymg0bSbFSrGpURzfPHFTUNeIOuWemSnKPTe3NOAybpwo3+efh+uuCzwY449XXxXFPmQIzJwJV18tkfkBA0RH+TJYnZIp46Z+fSkiFZByd7Gnd2/5EhYuDOwN5aJka/bl8GT6z9z+XQkxp5wKiYlHTm1wEP67ALLvHR/cP2JTNm2SeQ9OUEBDh0pA9b33Iv/ZJSXyjMXHw9NPl8YB4uOl7ry3523bNqlsabdYRiB8899b2JxUwhnr4Y+joNWeYo574OWgFHzUKXdvha8OHBClfuutoS+u7Tk/p3Fj0UVDhsCsWVJ62M2wYfDbb6W57OWxazVIfwwdCqtWlcpeGUXJydC7d+DK3SNKpoEOe+CXFnC4ZXP46itZsTklBZRib8vG9N4KZEyTiQ0Ox0kBv7p1ZZT64YeRv/UTJ0pa7nPPwe23ixX/0kuykHfPnt7fY8fVlwKl7X+mcMweSCiBv1yxmDqF0h4oUafcQ3HFVvYeT8Pyxx9bHPGxX355WcUO0ga+J1P9+acYte3bBy+nVQwdKttgrHcGDhRHfSCF9j2+gK114bSr4VAcJG7eLo3uqF5JCc027OTpEW3o+M1K+Mc/ghDInjhJuYO4ZrZtE0UbKZYvh/vvh4svlmJmboYPF8vd16Luds1CCoSj9xRT/zBsqA+9tpVtD5SAlLtS6g6l1Aql1HKl1AylVKJSqp1S6kel1Bql1HtKqQTXubVc+2tcx9sG929VDV+u2JSUsildgbzHjWf61QcfyDpdJSXw8MPer9W/v2/lnp0tNUQ8PA22p1076N49SOU+aJDUWQ3AQZt3VKMjr88ZBc0K4Lw1Zds9Kb7pBib1R8w5hxccz8pyVjbHkCGSwhsp18yhQ7KAjDuOpVTpscaNRZ7p072PJFauFLeiu5SGk/i7YSwArfdBx90V2wOhUuWulGoJ3Ar01Vr3AGKBkcCTwEStdQdgDzDW9ZaxwB5X+0TXeRHDX+GrUItieVr29esf8truybBhUgP7Ly8TzJyUKePJhRfC11+LDzMgTj1VcikDcM3cPxCKgT8bSarjs59Bfry0e+OSrpdw5zmw7pQecPPN0Ly5Y5eNclrALylJ+sLMmeISqQ48XaDNmsHvv4tnrmnTiueOGiV1mjIzKx7LyhKr3fMHwSmsv3s8+fGlyQQgz8T6uwOPNQXqlokDaiul4oAkYAswEPjQdXwqcLHr9UWufVzHBykVudvrOfFCKdm6M1e8Tcp48snKs/U8Lfv+/bd4bffEn2vGqcp96FCxjj77LMA31K0r0eUAlPvC5F3EAi+eAPd+A0UKxg2FFzxNFg+6NOlC52ZdmXB2kUTGt28POUJu5ajUSZkynowYAbt2waJF4b+2pwt03bpk9u2TNRv27fN+/gUXiHXubVF3p/1wenLKvS/x6yM3sqlhLCXApoax/PrIjZxy70sBXyOushO01puVUk8BG4ADwOfAUmCv1to9tWUT4EoEpCWw0fXeIqVULtAY2Ol5XaXUeGA8QPPmzVm8eLHXz8/Ly/N5zBctW8Jbb5Vtc1/CfWzDhtqMGdOfrKw1LF68ye/1nnkGXnqpHYsWteGii9ZwzjnriYmRHwlfonXtejxvvKEYMGDpkbbc3Dj27DmFmJjKPzMYQrlHwVJcDA0anMRrr+2hRYuVAcnTtn17Ut5+m2/nzqXITy3bt7acTXHM57zfQ3H9sQ8wM64efYATYxN8/l99kvowfed05t9/B2c8/xo6JoZfbr2Vw/XrS2J+APfDY1TaTWt9QCn1PjIqHYKMSt9VSk1GRqMv4zEqVUq5R68jKv0gH+zZk8CePc5TQOeeKwr1vfckVTaceLpAZ8yQ4vbFxdLuzQhLTJSR8nvvSYDVPTLfswe2bnXevfXklHtfApcyb+X6Cwqttd8/oCGwCGgKxAMfAaOANR7ntAaWu14vB1p5HPsLaOLvM/r06aN9kZmZ6fNYVenXT+tevSo/79AhrevX17p2ba2feipTp6RoPW2a//c89ZTWoPWaNaVt338vbXPnVkXqilTnPfLk6qu1btBA68OHvR+f9sc0nTIxRT81/SmdMjFFz3/zn/IPz5rl+6LFxXp/i8Z6Xns0D5X+JaUn6Wl/+L7JS/9eqnkI/UZv5DM8/5Qqcy6wRHvv225DpBFi6HwMnIMYInGuc04E5rtezwdOdL2Oc52nvF1bB9C3n376Vw1af/GF79sTSYLpR1ddJX3h0KHwyqBUxa/Ty1dahsWL5Zzp00vbvv1W2j7+OLzyRepZCxRffVtrXbnlDgwG1mmtdwAopWYBJwMNlFJxWqz3VsBm1/mbXcp+k8uNkwzsCvznJnKMHi3pkcuW+U6nAkl33LdPXBK1akniRmVcfjn83/+Ja+bee6XNiWmQngwdKqOeb7+VtWs9cS+qUVBYAM0hJzeH4fueZmdiLeIWLoRLLvF+0e++o+6WXUy7BJomNWVnwU7aJLchfVA6qT19+8uOO+o4UvbHMqtrMdf8Vu5ggBOctMWj0j//lCjq3r3fsXjx4YBkrk6CGQF27dqIt98+lqefXsaJJ4bv8Z40CQ4cUDz+eH9atszjmmuWA1L6wJdoJSXQrNkAJk3Kp0ULmc78ySctgM7s2/cDixcf9P7GEIjEKDls+NL67j+gP7AC8bUrxJ9+C/ABMNJ1zmTgJtfrCcBk1+uRwPuVfYZVlvv27VrHxWl9993+zzvtNK2POUbr4uLg5DnhBK2PP750/5//1DomJvzWTqSsif37tU5I0PrOOyseS5mYcsTqPvXZU4+8XtwlUeuuXX1f9Prr9YFasbrtv5vow0U+hgQ+uH3iuTrhn+h9CR4mXlJShWEVvi13S0elF164STdooHVJSVD/drURTD86dEjrhg21HjXK9znTpmmdkiJWdyCjXfd7EhLkq7z66j98faUVuPderWNjtd62TfbvuENG2sXFgf5HgeEky73SgKrW+kckMPoLsAwJwk4B7gHuVEqtQayX111veR1o7Gq/E7g3qF+bCNK0qfgPMzJ8T8pYsULm0Vx/fcVpz5UxbJjUuVm7VvazsyULICGhSmJbRt260LmzTCQpv6am5+IZX+/9+sjrT1oflMjW339XvODhw5S8/x7/61zCZf3GEB8bH5Q8l15yP4fjYN6JTSpGzwPjyKhUa10IlBmVus7xNiolHKPSnJw6dOvmzGyOhAS49FKYPbvixEAIvjSvm9RUOOYYCaJ267Yr4K901Ch5ht99V/ZXrpTFZoJ9ZqOJgP51rfWDWusuWuseWuvRWutDWuu1WusTtNYdtNbDtNaHXOcedO13cB1fW73/QtUYPVrqZfgaaU2eLB35mmuCv3b5rBmnZsq4yciQmaruCpGeD6zn4hn1YkuDpyt6HiUvvKVWzJtHzJ69vN1Tc03v4G/wSa1PolmdZsy6eZCMzdevD7ZQ2QZggFIqyZXRNQjIAjIB17fHGGC26/Uc1z6u44tc1lNI5OQkOTrgN2IE7N8P8+ZVPHbPPcGV5nXz++/Sx554Qiq8BvqVdu8Oxx1XmjXjToOsydTg3zVh6FCJ/Hub5ZafD2+/LRa4txzbymjbVjroBx+I9ZKd7ZyaMt5IS6uY2+x+YNMHpZMUL6kKAxtJgnqt2FpcedV/pJatl5RIPW0au+rGkntqP7o36x60PLExsVzU+SI+yf6Eg0XB+1WtHJXu2AF79yY4WrmfeaY8O6NGcSR77JZb4OyzxWDyRmWzwZ9/XjJexo71f543Ro2Cn3+W0fKGDc7OlAkHNV65164tynvmzIqWxowZEki98cbQrz98uEzG+OEHsXKcbLn7W5QktWcqU4ZOISU5hQHJA4hVsbRJbsOVx44SLbBwofzCucnNRc+dQ0a3Yq7qc23IMjVIbEDe4Txqp9em7bNtyVgW3CQmq0alTq574ua99+SZKSiQr3bDBnjhBVGuycne3+Mv1r1zp4wCR48Orbb9yJHyI/PPf8q+sdwNjBollfk++qi0TWuZ2d6jB5x0UujXdrtm3MuKOlm5V7bYUmrPVNbfvp4BLQfw4pAXyd6dzWdrPpNSBBs3lq2mNnMmMYcO88HxCYzsMTIkeTKWZfDCTy8c2c/JzWH83PFBK3grcFpNGW+kpXlfxKVOHXjxxYqzwRMS/M8Gf+018d/fckto8hx9tNxPt5vollscN2E5rBjlDpx2migoT9eMe3h3441VC3i1bSsBInddlrFjndvhginfcM1x19CuQTv+mflP9EBXHQEPv3vxO2/zV+MY2gy+jAaJDUKSJ21hGgeKDpRpKygsIG2h/VdpysqC2rWLaBX0zBT74Gskt3Fjxdng8fFizV92mff3FBXJD8KgQeI/D4WMjLKL9Pz9d+glvaMBo9yRoVxqKnz+uVS8A7Ha69QRq74qZGRIZ3fj5A7nr7RDeRJiE3jw9Af5ZcsvfFSSJVOD3X73TZuI+fIr3u5ZwjXHhe6S8czQCaTdLmRkyHoATZoU0K6dM/sCBDCScxXz1FqWatyxQ2q9eeOjj6S2/a23hi5PWprUqvMk0JLe0YhR7i5Gj5aEixkzZOryu++KYq9fv2rX9ReEdCIe1XcrzWRIPTaVzo0786/FD1AycKBY7q6brLQm86QWDGznozpYAHhm6ATSbgfcKYIHD0Lz5gVVWjDGaoIZyQ0eLCV709O9B1uff15GueefH7o8wS5UH+0Y5e6ia1fo00dcM1OnysNXlUCqm5rc4eJi4njojIdYsWMFP3auI9Wm/viDw1Pf5IeWcObgccSo0LugZ4aOm6T4JNIHhb7uZHXjWTulefN8wLk/9sGM5EBWUCoqKp2x7ea332Quyc03S357qFQ2kqhpGOXuQdeu4me/4w4J/ixfXvVr1vQON7z7cHo068E9JfOlYdIkElasZNqxcHXvq6t0bc8MHYUiJTmFKUOn+C1bYDWeP+pHH53ntd1JBDOSO+YYuOsuyUX3XHDdnf54begeOiD0kt7RilHuLjIyJB3SzeHD4Rku1/QOF6NiePTMR/m6ZB25STHw1lsUKfi7byfaNWxX5eu7M3RKHixh/e3rba3YoeyPeufOe7y2RzP33SdZLbfeKj8I7vTHq64KLf3Rk2BHEtGOUe4u0tJkrVVPwjFcNh0OLlqSx/FbFHPay+K28zvAhZ/+5UxHcxWp6T/2devKGgpLlshCHE2bympL7ar+Ow8EN5KIdoxyd1GdvvGa3uHy776d9IWaWa6c7pldYfgfxeT94zZrBbOA8imCNfHHHiRDbZdHVZ6HH66Rv/XVilHuLmq6b7w6Sdqyi3PWwM4kGHoFxJdAUqG010TcP/Z9+tTMH/t//lMMHU+cGlS2M0a5u6jpw+XqZEOy1Ip+fCFktoPrl5a2G2oeNTmDLJIY5e7C+Marj2cuaEx+PJyyAfY/BsdvkcV+n7mgsdWiGSzAjJIjg1HuHtR033h10f+eSdx8cTzrk0ED65Ph5ovj6X/PJKtFM1iAGSVHhkCW2TMYqkRqz1T4F5xxUhobcjcEtIyeIXpxG01paeKKadNGFLsxpsKLUe6GiJDaM9Uoc8MRUlONMq9uVBUWkgmfEErtAHJ8HG5CuQWILcZu8oD9ZLKbPCla6xCWW6k6pm9XCbvJA/aTyWfftoVy94dSaonWuq/VcrixmzxgP5nsJo9dsdt9MvJUjh1l8oUJqBoMBkMUYpS7wWAwRCFOUO5TrBagHHaTB+wnk93ksSt2u09Gnsqxo0xesb3P3WAwGAzB4wTL3WAwGAxBYpS7wWAwRCG2Ve5KqXOVUquVUmuUUvdW/o7qRym1Xim1TCn1m1JqiUUyvKGU2q6UWu7R1kgptUAple3aVnHZgyrL85BSarPrPv2mlBoSKXmcgOnbXj/fVv3aj0yO6du2VO5KqVjgReA8oBtwhVKqm7VSHeFMrXVvC3Nd3wLOLdd2L7BQa90RWOjat1IegImu+9Rba/1pBOWxNaZv++Qt7NWvfckEDunbtlTuwAnAGq31Wq31YeBd4CKLZbIFWuuvgN3lmi8CprpeTwUutlgeg29M3/aC3fq1H5kcg12Ve0tgo8f+Jleb1Wjgc6XUUqXUeKuF8aC51nqL6/VWoLmVwri4WSn1h2toG9HhtM0xfTtw7NivwSF9267K3a6corU+HhlST1BKnWa1QOXRkttqdX7ry0B7oDewBXjaUmkMgWDrvm2Tfg0O6tt2Ve6bgdYe+61cbZaitd7s2m4H/ocMse3ANqVUCwDXdruVwmitt2mti7XWJcCr2Oc+2QHTtwPHVv0anNW37arcfwY6KqXaKaUSgJHAHCsFUkrVUUrVc78GzgaW+39XxJgDjHG9HgPMtlAW94Po5hLsc5/sgOnbgWOrfg3O6tu2rOeutS5SSt0MzAdigTe01issFqs58D+lFMh9m661/izSQiilZgBnAE2UUpuAB4EngPeVUmOR8rLDLZbnDKVUb1wLLwHXR0oeu2P6tnfs1q/9yOSYvm3KDxgMBkMUYle3jMFgMBiqgFHuBoPBEIUY5W4wGAxRiFHuBoPBEIUY5W4wGAxRiFHuBoPBEIUY5W4wGAxRyP8DUiTrMRtTwrcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch = 0900, grad_step = 010812, tr_loss (epoch) = 0.222, te_loss (epoch) = 0.544\n"
     ]
    }
   ],
   "source": [
    "def main():\n",
    "    forecast_length = 5\n",
    "    backcast_length = 3 * forecast_length\n",
    "    batch_size = 10  # greater than 4 for viz\n",
    "\n",
    "    milk = pd.read_csv('data/milk.csv', index_col=0, parse_dates=True)\n",
    "    print(milk.head())\n",
    "    milk = milk.values.flatten()  # just keep np array here for simplicity.\n",
    "\n",
    "    # data backcast/forecast generation.\n",
    "    x, y = [], []\n",
    "    for epoch in range(backcast_length, len(milk) - forecast_length):\n",
    "        x.append(milk[epoch - backcast_length:epoch])\n",
    "        y.append(milk[epoch:epoch + forecast_length])\n",
    "    x = np.array(x)\n",
    "    y = np.array(y)\n",
    "\n",
    "    # split train/test.\n",
    "    c = int(len(x) * 0.8)\n",
    "    x_train, y_train = x[:c], y[:c]\n",
    "    x_test, y_test = x[c:], y[c:]\n",
    "\n",
    "    # normalization.\n",
    "    norm_constant = np.max(x_train)\n",
    "    x_train, y_train = x_train / norm_constant, y_train / norm_constant\n",
    "    x_test, y_test = x_test / norm_constant, y_test / norm_constant\n",
    "\n",
    "    # model\n",
    "    net = NBeatsNet(\n",
    "        stack_types=(NBeatsNet.GENERIC_BLOCK, NBeatsNet.GENERIC_BLOCK),\n",
    "        forecast_length=forecast_length,\n",
    "        backcast_length=backcast_length,\n",
    "        hidden_layer_units=128,\n",
    "    )\n",
    "    optimiser = optim.Adam(lr=1e-4, params=net.parameters())\n",
    "\n",
    "    grad_step = 0\n",
    "    for epoch in range(1000):\n",
    "        # train.\n",
    "        net.train()\n",
    "        train_loss = []\n",
    "        for x_train_batch, y_train_batch in data_generator(x_train, y_train, batch_size):\n",
    "            grad_step += 1\n",
    "            optimiser.zero_grad()\n",
    "            _, forecast = net(torch.tensor(x_train_batch, dtype=torch.float).to(net.device))\n",
    "            loss = F.mse_loss(forecast, torch.tensor(y_train_batch, dtype=torch.float).to(net.device))\n",
    "            train_loss.append(loss.item())\n",
    "            loss.backward()\n",
    "            optimiser.step()\n",
    "        train_loss = np.mean(train_loss)\n",
    "\n",
    "        # test.\n",
    "        net.eval()\n",
    "        _, forecast = net(torch.tensor(x_test, dtype=torch.float))\n",
    "        test_loss = F.mse_loss(forecast, torch.tensor(y_test, dtype=torch.float)).item()\n",
    "        p = forecast.detach().numpy()\n",
    "        if epoch % 100 == 0:\n",
    "            subplots = [221, 222, 223, 224]\n",
    "            plt.figure(1)\n",
    "            for plot_id, i in enumerate(np.random.choice(range(len(x_test)), size=4, replace=False)):\n",
    "                ff, xx, yy = p[i] * norm_constant, x_test[i] * norm_constant, y_test[i] * norm_constant\n",
    "                plt.subplot(subplots[plot_id])\n",
    "                plt.grid()\n",
    "                plot_scatter(range(0, backcast_length), xx, color='b')\n",
    "                plot_scatter(range(backcast_length, backcast_length + forecast_length), yy, color='g')\n",
    "                plot_scatter(range(backcast_length, backcast_length + forecast_length), ff, color='r')\n",
    "            plt.show()\n",
    "\n",
    "            with torch.no_grad():\n",
    "                save(net, optimiser, grad_step)\n",
    "            print(f'epoch = {str(epoch).zfill(4)}, '\n",
    "                  f'grad_step = {str(grad_step).zfill(6)}, '\n",
    "                  f'tr_loss (epoch) = {1000 * train_loss:.3f}, '\n",
    "                  f'te_loss (epoch) = {1000 * test_loss:.3f}')\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    main()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
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